Which translation maps the vertex of the graph of the function f(x) = x2 onto the vertex of the function g(x) = x2 + 2x
+1?
Oright 1 unit
o left 1 unit
Oright 2 units
left 2 units
Answer:
The translation is left 1 unit, up 5 units ⇒ A
Step-by-step explanation:
Let us revise the rules of translation of a function
If the function f(x) translated horizontally to the right by h units, then its image is g(x) = f(x - h)
If the function f(x) translated horizontally to the left by h units, then its image is g(x) = f(x + h)
If the function f(x) translated vertically up by k units, then its image is g(x) = f(x) + k
If the function f(x) translated vertically down by k units, then its image is g(x) = f(x) - k
The vertex form of the quadratic function is f(x) = ax² + bx + c, where a, b, and c are constant is f(x) = a(x - h)² + k, where h = and k = f(h)
You will use the vertex form to find the translation
∵ g(x) = x² + 2x + 6
∴ a = 1 and b = 2
→ use the rule of h to find it
∴ h =
∴ h = -1
→ Use it to find k
∵ g(h) = k
∴ k = g(-1)
→ Substitute x by -1 in g to find k
∴ k = (-1)² + 2(-1) + 6 = 1 - 2 + 6
∴ k = 5
→ Substitute the values of h and k in the vertex form above
∴ g(x) = 1(x - -1)² + 5
∴ g(x) = (x + 1)² + 5
→ By using the 2nd and 3rd rules of translation above
∴ f(x) is translated 1 unit to the left and 5 units up
∴ The translation is left 1 unit, up 5 units
Answer:
it's A. left 1 unit
Step-by-step explanation:
there's a graphing tool on e d g just copy and paste the equations in that and it'll give you the answer
Round 7463 to 2 significant figure
Answer:
= 7500 with line over 5.
Step-by-step explanation:
Skip drove 55.6 miles on Saturday, and 42 1/2 miles on Sunday. How many miles did he drive during the entire weekend?
A 11 1/4 candle burns in 9 hours at what rate does the candle burn per hour
i really need help on this one
Answer:
Step-by-step explanation:
Answer:
The candle burns out 1 [tex]\frac{1}{4}[/tex] per hour. (or [tex]\frac{5}{4}[/tex])
Step-by-step explanation:
1. Convert 11 [tex]\frac{1}{4}[/tex] into an improper fraction ([tex]\frac{45}{4}[/tex])
2. Divide [tex]\frac{45}{4}[/tex] by 9 to find the rate
3. You should get 1 [tex]\frac{1}{4}[/tex] (mixed number) or keep it as an improper fraction( [tex]\frac{5}{4}[/tex] )
Hope this helps!
The sum of three consecutive integers is 84. What are the three numbers?
number 1:
number 2:
number 3:
Answer:
they are 27, 28, and 29.
Step-by-step explanation:
Round 1.029 to the nearest hundredth.
Answer:
1.03
Step-by-step explanation:
1.029 is closer to 1.03 than 1.02, so round it to 1.03.
Answer:
1.03
Step-by-step explanation:
This week, Philip spent 13 hours playing basketball, and 9 hours practicing his violin. What is the ratio of the hours spent playing basketball to the hours spent practicing violin? A 13:13 B. 9:9 C. 13:9 D. 9:22
Answer:
Step-by-step explanation:
C 13:9
Is 1.6x-2.4y=4 a function?
Answer:
Yes it is a function
Step-by-step explanation:
The ratio of boys to girls in a group is 6:1. If there are 50 more boys than girls, work out how many boys there are.
Answer:
the was 60 boys in the group
Answer:
There are 60 boys.
Step-by-step explanation:
Multiply both by 10 and you get 60 boys and 10 girls. there are 50 more boys than girls.
answer the question below, topic: scaled topies
Answer:
The answer is C
Step-by-step explanation:
So, in A, the ratio is 5:3- understand? And in C, the ratio is 10:6. You multiply 5(2) and 3(2), and you get 10:6
-Hope this helped!
What is the decimal form of 45/120
Answer: 37.5 or 0.375
Step-by-step explanation:
to write 45/120 as a decimal you have to divide the numerator by the denominator of the fraction. we divide now 45 by 120 what we write down as 45/120 and get 0.375
Hope this helped!
[tex]Write\;equations\;for\;the\;following...\\\\1...(-2, 3) & (0, 2\\2...(2, 3) & (-3, 0)\\3...(-4, 4) & (4, 5)\\4...(5, 3) & (-1, 5)\\5...(-3, 3) & (0. -1)[/tex]
Answer: see below
Step-by-step explanation:
Step 1: Find the slope (m) using the formula: [tex]m=\dfrac{y_2-y_1}{x_2-x_1}[/tex]
Step 2: Plug in the slope (m) and one of the points (x₁, y₁) into the Point-Slope formula. y - y₁ = m(x - x₁)
1. (-2, 3) and (0, 2)
Step 1: [tex]m=\dfrac{3-2}{-2-0}\quad =\dfrac{1}{-2}\quad =-\dfrac{1}{2}[/tex]
Step 2: [tex]y-2=-\dfrac{1}{2}(x-0)[/tex]
[tex]y-2=-\dfrac{1}{2}x[/tex]
[tex]\large\boxed{y=-\dfrac{1}{2}x+2}[/tex]
2. (2, 3) and (-3, 0)
Step 1: [tex]m=\dfrac{3-0}{2-(-3)}\quad =\dfrac{3-0}{2+3}\quad =\dfrac{3}{5}[/tex]
Step 2: [tex]y-0=\dfrac{3}{5}(x-(-3))[/tex]
[tex]y=\dfrac{3}{5}(x+3)[/tex]
[tex]\large\boxed{y=\dfrac{3}{5}x+\dfrac{9}{5}}[/tex]
3. (-4, 4) and (4, 5)
Step 1: [tex]m=\dfrac{4-5}{-4-4}\quad =\dfrac{-1}{-8}\quad =\dfrac{1}{8}[/tex]
Step 2: [tex]y-4=\dfrac{1}{8}(x-(-4))[/tex]
[tex]y-4=\dfrac{1}{8}(x+4)[/tex]
[tex]y-4=\dfrac{1}{8}x+\dfrac{1}{2}[/tex]
[tex]\large\boxed{y=\dfrac{1}{8}x+\dfrac{9}{2}}[/tex]
4. (5, 3) and (-1, 5)
Step 1: [tex]m=\dfrac{3-5}{5-(-1)}\quad =\dfrac{3-5}{5+1}\quad =\dfrac{-2}{6}\quad =-\dfrac{1}{3}[/tex]
Step 2: [tex]y-3=-\dfrac{1}{3}(x-5)[/tex]
[tex]y-3=-\dfrac{1}{3}x+\dfrac{5}{3}[/tex]
[tex]\large\boxed{y=-\dfrac{1}{3}x+\dfrac{14}{3}}[/tex]
5. (-3, 3) and (0, -1)
Step 1: [tex]m=\dfrac{3-(-1)}{-3-0}\quad =\dfrac{3+1}{-3-0}\quad =\dfrac{4}{-3}\quad =-\dfrac{4}{3}[/tex]
Step 2: [tex]y-3=-\dfrac{4}{3}(x-(-3))[/tex]
[tex]y-3=-\dfrac{4}{3}(x+3)[/tex]
[tex]y-3=-\dfrac{4}{3}x-4[/tex]
[tex]\large\boxed{y=-\dfrac{4}{3}x-1}[/tex]
4 Sam was asked to place the numbers shown below in order from least to greatest.
1/-0.5, 8,
.*,-0.66, 1.22
After ordering the numbers from least to greatest, what number would Sam have in
the fifth position?
F 1.22
G350%
H 1
3
Answer:
0 .66
Step-by-step explanation:
Because they were big than other no
- Which is greater?
5 2
a) or
16 9
Answer:
5/2
Step-by-step explanation:
5/2= 2 1/2
while 16/9=1 7/9
The regular price of a baseball hat is $16.85. If Ernesto buys the baseball hat on sale for 20% off the regular price, how much change will
receive after paying with $20?
Answer:
$6.52
Step-by-step explanation:
The price of the hat would be $13.48 after the discount.
So the amount of change he would receive would be 20-13.48 which is $6.52
One week, Brooklyn earned $179.30 at her job when she worked for 11 hours. If she is paid the same hourly wage, how many hours would she have to work the next week to earn $244.50?
Answer:
Brooklyn would get paid 16.30 hourly. So she will have to work 15 hours the next week to earn 244.50.
Step-by-step explanation:
Divide 179.30 by 11 and you would get 16.30 which is her hourly wage. Then you divide 244.50 by 16.30 to see how many hours she would have to work to earn 244.50.
Answer:
15 Hours
Step-by-step explanation:
179.30 / 11 = $16.3 an hour
244.5 / 16.3 = 15 hours
I think x is 122
y is 58
z is 122
Did I mess it up? Can I get checked?
Answer:
You are correct!
Step-by-step explanation:
Hi!
You are right! If y is in the same spot as 58 degrees, then y is 58 degrees as well! Same goes for x. If z is 122 degrees, then x must be 122 degrees! Great job figuring this one out!
If you like my answer, please rate it! I'd also appreicate a Thanks!
Have a great day!
answer my question asap
please! I will be forever greatful
have a great day
Answer:
plS AWNSER MY QUESTION i WIIL be GrEaTfUl FOrEvEr
Step-by-step explanation:
What is the measure of <1? (ON ALL THE PROBLEMS) And tell if 4 and 5 are right. ( d means degrees)
Answer:
The most common measure of an angle is in degrees. Here is a brief introduction to the four types of angles: Right angle. With this angle, you can never go wrong. The right angle is one of the most easily recognizable angles. It’s in the form of the letter L, and it makes a square corner (see Figure 2). It has a measure of 90 degrees.
Step-by-step explanation:
In order to compete successfully, a producer must produce goods that are
more expensive than those of competitors.
of a lesser quality than those of competitors.
of a higher quality than those of competitors.
created without worrying about the costs of production.
Answer:
of a higher quality than those of competitors.
Step-by-step explanation:
To compete successfully, a producer should ensure that they must produce goods that are of a higher quality than those of their competitors.
The quality of a product is usually a deterministic characteristic of how the public will receive such material.
A quality good produced gives consumers better value for money spent in procuring them. This will ensure a high reliability on the part of the consumers towards the producers. Even at higher prices, most consumers will crave for a good and quality product since they are rest assured of getting maximum value from it.Therefore, a higher quality of goods produced will make a producer compete more successfully.
Answer:
C) Of a higher quality than those of competitors.
Can someone please help me asap!!! I’ll mark brainlist !!
Answer: 2.4
Step-by-step explanation:
4/5 x 3 = 2 and 3/5
2 and 3/5 converted into decimal is 2.4
You're welcome!
Order the decimals from least to greatest.
0.0453, 0.4753, 0.4792, 0.1082, 0.3047
Help pleaseeee. I really need help.
Answer:
10
Step-by-step explanation:
Perform the said operations
Answer:
10
Step-by-step explanation:
16*2 = 32
32/8 = 4
4*15 = 60
60/6 = 10
10
What is the equation of this line?
y=23x−2
y=32x−2
y=−2x+23
y=−2x+32
SOMEONE JUST ANSWER PLSSSS I NEED HELP ASAP.
Answer:
y=2/3x−2 A. WOULD BE THE ANSWER
Step-by-step explanation:
HELP NEEDED BEOFRE SUNDAY
The wholesale cost of a bicycle is $98.75. The markup for the bicycle is 33.3%. Fond the selling price of the bicycle to the nearest cent
Answer:
it is 38.74
Step-by-step explanation:
kekdjfjaksodkfjaj
Answer:
131.63
Step-by-step explanation:
Sample method: Use properties of operations. Let x represent the markup.
x98.75=33.3100 Write the proportion.
x98.75=0.333 Divide 33.3 by 100.
98.75 · x98.75=(0.333)∙98.75 Multiplication Property of Equality
x=32.88 Simplify.
Add the markup to the wholesale cost.
The selling price is $98.75+$32.88 or $131.63.
Rachel divided 105 strawberries equally into 7 boxes. How many strawberries will 5 such boxes contain ?
Answer:the answer would be 75
Step-by-step explanation:If you divide 105 by 7 you get 15 which mean there are 15 strawberries per box so just take 15 times 5 to get your answer -hope this helps!
Which of the following statements about setting up equations to solve word problems is not true?
Answer:
The answer would be the first one.
Step-by-step explanation:
The first answer, any variable is not true because it would not be logical because when someone is checking your work, they wouldn‘t know what that variable is. And it is logical to list what the problem is asking, AND word problems CAN be solved using an equation.
What integers are closest to the square root of 54 on the number line?
Answer:
sqrt(54) is between 7 and 8
Step-by-step explanation:
Lets look at integers that are squared
1^2 = 1
2^2 = 2
3^2 = 9
4^2 = 16
5^2= 25
6^2 = 36
7^2 = 49
6^2 =64
54- 49 = 5 and 64 - 54 = 10
So 54 is closer to 49
so sqrt(54) is closer to the sqrt(49) = 7
sqrt(54) is between 7 and 8
show on number : 1/5 2/5 3/5 4/5
Answer: We need more information. I can't solve this with no info.
Step-by-step explanation:
Name a fourth point in plane TUW.
Answer:
Y
Step-by-step explanation:
i think its Y