Without graphing, describe the transformation from the parent function
f(x) = | x |.
1. y = 5| x |
2. y = 1/3 I x I
3. y = 3| x |
Answers
Answer:
1. y = 5|x| ⇒vertical stretch
2. y = ⅓|x| ⇒vertical compression
3. y = 3|x| ⇒vertical stretch
Step-by-step explanation:
Given the parent absolute value function, f(x) = |x|:
1) y = 5|x|The transformed function, y = a|x|, where |a| > 1, represents the vertical stretch of the parent graph by a factor of a.
A vertical stretch is a transformation to the parent function where there is an increase in distance between corresponding points of a graph.Therefore, the absolute value equation, y = 5|x|, represents a vertical stretch of the parent function by a factor of 5. The graph of y = 5|x| is narrower than the parent function, f(x) = |x|.
2) y = ⅓|x|The transformed function, y = a|x|, where 0< |a| < 1, represents the vertical compression of the parent graph by a factor of a.
A vertical compression is a transformation to the parent function where there is a decrease in distance between corresponding points of a graph.Therefore, the absolute value equation, y = ⅓|x|, represents a vertical stretch of the parent function by a factor of ⅓. The graph of y = ⅓|x| is wider than the parent function, f(x) = |x|.
3) y = 3|x|
Similar to question 1, the absolute value equation, y = 3|x|, represents a vertical stretch of the parent function by a factor of 3. The graph of y = 3|x| is narrower than the parent function, f(x) = |x|.
Attached are the graphs of the given absolute value functions, where it shows the transformations to the parent function, f(x) = |x|.
Related Questions
For the right angle shown, the length of two sides are given. Find the third side. Leave your answer in simplified, radical form.
b=9, c=16
a=
Answers
Answer:
a is about 13.2
Step-by-step explanation:
the formula for this type equation is a²+b²=c²
plug in the numbers to make the equation a²+9²=16²
do the multiplication and it gives u a²+81=256
subtract 81 from both sides and a²=175
take the square root of both sides and it gives u 13.22
  (20 points!!!) Please help me answer this question it’s important. I already know the answer I just need the working! The answer is ( Jose, $901.31 more)
Janell deposits $2,000 and for 5 years leaves it in an account earning 3% annual interest, compounded quarterly. For 5 years, José saves and deposits $150 per quarter in an account earning 3% interest compounded quarterly. Who will have more money in the account after 5 years? How much more?
Use the table below to answer:
Answers
Answer:this is tricky make me brainlest
then i shall answer Step-by-step explanation
Find the greatest value of -10+14X-2X^2 and state the value of X at which it occurs
Answers
Answer:
Step-by-step explanation:
a maximum or minimum occurs where the derivative equals zero
f(x) = -2x² + 14x - 10
f'(x) = -4x + 14
0 = -4x + 14
4x = 14
x = 3.5
f(3.5) = -2(3.5)² + 14(3.5) - 10 = 14.5
what i ls the value of
[tex]\pi[/tex]
Answers
Step-by-step explanation:
π can be taken as approximation of 22/7 ≈ 3.14
On two investments totaling $14,000, Peter lost 4% on one and earned 6% on the other. If his net annual receipts were $312, how much was each investment?
Answers
Answer:
5280 , 8720
Step-by-step explanation:
suppose the one is x, another is y
x+y=14000
y(6%)-x(4%)=312
x=5280
y=8720
net annual receipt means the income so you have to substract the lost from the gains
A hiker starts at an elevation of 12 feet above sea level. She descends 43 feet into an
underground cave to explore. While exploring, she slips and slides 17 feet further down
into the cave. Write an expression that can be used to model this situation and evaluate
it to determine her location below sea level.
Answers
Answer:
if its asking for final depth it is 48 fert below sea level
Step-by-step explanation:
43 + 17= 60
12 - 60 = 48
The radius of a circle measures 10 yards what is the circumference of the circle
Answers
Answer:
62.8 yards
Step-by-step explanation:
The circumference would just be equal to diameter*3.14, and the diameter is 2 times the radius. 2x10=20, and 20x3.14 would equal 62.8 yards.
The table below provides the values of the functions g(t) and h(t) for
several values of t.
Which of the following is a solution to the equation f(t)=h(t)
Answers
Answer:
D) t = 5
Step-by-step explanation:
when t =5 both functions have the same x and y value
Need help !! From mathematics only
Answers
Answer:
1) 9h² - 3h + 2h² when h= -1
11h²- 3h
11(-1)²-3(-1)
11+3
14
2) -6m + 3t +2m² when m= 3 and t=-1
-6( 3) +3(-1)+2(3)²
-18 -3 +18
-3
3) 7g² - 2c³/ 3g - c² when g=2 and c= -1
7(2)² - 2(-1)³ / 3(2) - (-1)²
28 +2 / 6-1
30/5
6
When a common denominator is found for the fractions 2/5 and 5/6, what will the equivalent fractions be
Answers
The equivalent fractions will be 12/30 and 25/30
Given the fraction 2/5 and 5/6
Their respective denominator are 5 and 6To make them the same, we will multiply the value of 5 by 6 and the value of 6 by 5
For the deniminator of 5, the equivalent denominator is (5*6) = 30
For the denominator of 6, the equivalent denominator is (6*5) = 30
Equivalent fraction for 2/5 = 2/5 * 6/6
Equivalent fraction of 2/5 = 12/30Equivalent fraction for 5/6 = 5/6 * 5/5
Equivalent fraction of 2/5 = 25/30Hence the equivalent fractions will be 12/30 and 25/30
Learn more on fractions here: https://brainly.com/question/17743912
Solve for the value of p.
(6p-2)
न
(3p-7)|
Answers
Answer:
The sum of angles on a straight line is 180 degrees.
Therefore,
[tex](6p-2)+(3p-7)=180[/tex]
[tex]6p-2+3p-7=180[/tex]
[tex]9p-9=180[/tex]
[tex]9p=189[/tex]
[tex]p=21[/tex]
It is impossible to solve this mixture problem: How many gallons of a 10% solution would need to be
added to a 20% solution to obtain a 30% solution.
True or False?
Answers
Answer:
false
Step-by-step explanation:
How many gallons of a 10% solution. Would need to be added to a 20% solution to obtain 50 gallons of a 30% solution?
2.How many gallons of milk containing 4% fat is mixed with milk containg 1% fat to obtain a 15 gallon mixture containing 2% fat?
Wind forms desert pavement through ___.
A. sublimation
B. random acts of kindness
C. deposition
D. erosion
Answers
Answer:
D. erosion
Step-by-step explanation:
The wind is a stronger erosional force in arid regions than it is in humid regions because winds are stronger. In humid areas, water and vegetation bind the soil so it is harder to pick up. In arid regions, small particles are selectively picked up and transported. As they are removed, the ground surface gets lower and rockier, causing deflation. What is left is desert pavement, a surface covered by gravel-sized particles that are not easily moved by wind.
You make $85,000 per year and your company matches 50 cents for every dollar you deposit into your 401k plan, up to %5 of your salary. If you contribute $300
every month to your 401k, what will your company contribute each month?
Answers
Answer:
$150 each month
Step-by-step explanation:
divide 300 in half because they contribute 50¢ per dollar
X is the random number of times a coin with heads probability 1/4 is tossed till the first heads appears, find: g
Answers
Which expression is equivalent to (1/square root y)^-1/5
Answers
Answer:
y^(1/10).
Step-by-step explanation:
(1/√y)^-1/5
= (y ^-1/2)^-1/5
= y^(-1/2 * -1/5)
= y^(1/10)
Answer:
Step-by-step explanation:
(1/sqrt(y) )^-1/5 To get rid of the minus, turn the sqrt(y) over.
(sqrt(y))^1/5 Represent the square root of y as y^(1/2)
(y^(1/2))^(1/5) Multiply the powers
y ^ 1/10
w+2/2 + 2 = w-5/3 solve for w
Answers
Answer:
w = -28
Step-by-step explanation:
[Given] w+2/2 + 2 = w-5/3
[Rewrite] [tex]\frac{w+2}{2} +2=\frac{w-5}{3}[/tex]
[Break up fraction] [tex]\frac{w}{2}[/tex] + [tex]\frac{2}{2}[/tex] + 2 = [tex]\frac{w-5}{3}[/tex]
[Combine like terms] [tex]\frac{w}{2}[/tex] + 3 = [tex]\frac{w-5}{3}[/tex]
[Break up fraction #2] [tex]\frac{w}{2}[/tex] + 3 = [tex]\frac{w}{3}[/tex] + [tex]\frac{-5}{3}[/tex]
[Add [tex]\frac{-5}{3}[/tex] to both sides] [tex]\frac{w}{2}[/tex] + [tex]\frac{14}{3}[/tex] = [tex]\frac{w}{3}[/tex]
[Subtract [tex]\frac{w}{2}[/tex] from both sides] [tex]\frac{14}{3}[/tex] = [tex]\frac{w}{3}[/tex] - [tex]\frac{w}{2}[/tex]
[Common denomiator of 6] [tex]\frac{14}{3}[/tex] = [tex]\frac{2w}{6}[/tex] - [tex]\frac{3w}{6}[/tex]
[Subtract #2] [tex]\frac{14}{3}[/tex] = [tex]\frac{-w}{6}[/tex]
[Multiply both sides by 6] 28 = -w
[S ubtract 28 from both sides & add w to both sides] w = -28
Have a nice day!
I hope this is what you are looking for, but if not - comment! I will edit and update my answer accordingly. (ノ^∇^)
- Heather
If p and q vary inversely and p is 15 when q is 17, determine q when p is equal to 51
Answers
Step-by-step explanation:
q is inversely to p and we need to add k as the constant..
then find value of k by sub the value of p and q
after that sub the value of k and p to find q
Why are integers rational numbers
Answers
Answer:
Because integers don't have decimals. An irrational number has a forever repeating decimal (that is random).
Step-by-step explanation:
WILL GIVE BRAINIEST IF CORRECT
Which of the following doesn't belong? Explain.
Answers
Step-by-step explanation:
a. 5x² - 80
b. 5(x² + 4x - 4x -16)
5(x² - 16)
5x² - 80
c. 5x² - 20x + 20x - 80
5x² - 80
d. 5x² - 11
D doesn't belong because 5x² - 11 is not the answer to A, B, or C.
What is the probability that client A, the newborn you’re considering for a 30-year policy, lives to be 30 years old? Client A is a non-Hispanic white male, so look in table 14.
Answers
Using the probability concept, it is found that there is a 0.97555 = 97.555% probability that client A lives to be 30 years old.
A probability is the number of desired outcomes divided by the number of total outcomes, that is:
[tex]p = \frac{D}{T}[/tex]
In this problem:
Out of 100,000 clients, 97,555 lives to age 30, hence [tex]D = 97555, T = 100000[/tex]Then:
[tex]p = \frac{D}{T} = \frac{97555}{100000} = 0.97555[/tex]
There is a 0.97555 = 97.555% probability that client A lives to be 30 years old.
A similar problem is given at https://brainly.com/question/25790531
Answer: The answer is 0.97424
Step-by-step explanation: The other answer... the math is correct, its just that they have read the source table incorrectly.
Age
29-30 = 97,555
30-31 = 97,424
The correct row is 30-31.
97,424 / 100,000 = 0.97424
You can tell this is the case because look at row 0-1.. its a 100% chance of survival. If you read that row as a '1 year old' then 100% of all people survive until they turn 1? Alas, no, this is not true :(
Given:
∠1 and ∠2 are supplementary angles
Prove:
l || m
Answers
Hello
just a second
people reading this please complete because you will help me a lot.
I am an Indian girl my name is Lamer and am 13 years old.
I Just got this new device after working at a farm for 2 years.
I used to use brainly at my friend device she had money to buy brainly plus.
I cant please help me get points so I can get good marks and my dad let me complete my education instead of getting married.
Suppose the average price of the market basket for toddler toys was $737.75 in 1994 and $801.93 in 2000 for the same basket. Calculate the inflation rate over this period. (Round your answer to the nearest hundredth of a percent.)
Answers
Answer:
0.014
Step-by-step explanation:
Minused old price from New then divided the answer by the old price then divided that by 6 to get yearly inflation
Answer:
Knewton as of May 15, 2022 8.70%
Step-by-step explanation:
Two students are throwing water balloons at a target. Accuracy is measured as how close the balloon is from the
center of the target. Tory's distances from the center of the target are approximately Normally distributed with a
mean of 123 mm and a standard deviation of 31 mm. Adam's distances from the center is approximately Normally
distributed with a mean of 108 mm and a standard deviation of 47 mm. If 5 attempts for Tory and 3 attempts for
Adam are randomly selected, what is the probability that the mean distance from the center of the target for Tory is
more than for Adam?
O 0.3113
O 0.4923
O 0.6887
O 0.7427
Answers
Answer:
0.6887
Step-by-step explanation:
Using normal distribution, the probability of that mean distance from the center of the target for Tory is more than for Adam is 0.6887.
What is normal distribution?
Normal distribution is "continuous probability distribution that its symmetrical around its mean with most values near the central peak".
According to the question,
Tory's distances from the center of the target are normally distributed with a mean of 123mm and a standard deviation 31mm. Number of attempts for Tory is 5.
Adam's distances from the center of the target are with a mean of 108mm and a standard deviation 47mm. Number of attempts for Adam is 3.
In order to find the probability of that mean distance from the center of the target for Tory is more than for Adam.
Normal distribution z = (x-μ)/σ x ~ (μ,σ)
When x = 108
z = (123 - 108)/47 [Adam's distances from the center of the target are normally distributed with a mean of 108mm and a standard deviation of Adam is 31mm.]
= 0.3191
P(x > 108) = P(z > - 0.3191)
= 1 - 0.3191 [since the probability of the normal curve is 1 and to find the area under tory mean is greater than the Adam mean only if we subtract 1 from z value]
= 0.6887
Hence, Using normal distribution, the probability of that mean distance from the center of the target for Tory is more than for Adam is 0.6887.
Learn more about Normal distribution here
https://brainly.com/question/11943392
#SPJ2
In a competition with USA, Canada, England and Mexico, how many different ways can the countries place first, second and third?
a 3
b 24
c 4
d 9
Answers
Answer:
B
Step-by-step explanation:
There are 4 countries. If a country places first, it cannot place 2nd or 3rd or fourth. That leaves 3 that can. So this uses the counting principle
4 countries could be first
3 countries could be second
2 countries could be 3rd
1 country can be last.
4*3 * 2 * 1 = 24 different ways.
5 An army cook wants to make pudding
for dessert. He has a recipe that calls for
2 cups of milk to make 4 servings. There
are 16 cups in a gallon. How many gallons
of milk does the cook need to make
864 servings of pudding?
Answers
Answer:
27
Step-by-step explanation:
First you dvide 864 by 4 to get 216. Next you multiply the 216 by 2 to find that there are 432 cups in 864 servings. Finally you divide by 16 to turn 432 cups into 27 gallons.
I hope this helps!
Answer:
27 gallons
Step-by-step explanation:
First, multiply each number by 8, so you can get 16 cups.
16 cups to make 32 servings or 1 gallon to make 32 servings
Then find out what you multiply 32 by to get 864 by dividing 864/32 which is 27.
Now multiply the 1 gallon by 27 to get 27 gallons in 864 servings
pree point sa inyong lahat
Answers
Answer:
Thanksss
Step-by-step explanation:
:)
Answer:
thanks lol
Step-by-step explanation:
Nate biked 54 miles in 4 1/2 hours. What was Nate’s average speed in miles per hour.
Answers
Answer:
12mph
Step-by-step explanation:
You must divide the 54 miles by the 4 1/2 hours which will give you 12mph
2/-2.5+4.1+1.2(3+6)/-0.1
Answers
Answer:
-104.7Step-by-step explanation:
2 : (-2.5) + 4.1 + 1.2 * (3+6) : (-0.1 ) =
-0.8 + 4.1 + 10.8 : (-0.1) =
-0.8 + 4.1 + (-108) =
3.3 - 108 =
-104.7
Q6) U= {1,2,3,4,5,6,7,8,9,10}
A={1,3,5,7,9)
B= {2,4,5,8)
C={1,10}
D={1,3,6,7,8}
Mention
. AUB
. An B
. (AnB) n (BU A)
. AU (BnC)
. CUD
Answers
Answer:
AUB={1,2,3,4,5,7,8,9}
ALL THE NUMBERS WITHOUT REPEATING
AnB={5}
THE NUMBER THE HAVE IN COMMON
(AnB)n(BnC)={5}not too sure
CUD={1,3,6,7,8,10}