Describe how the graph of y= x^2 can be transformed to the graph of the given equation.
y = x^2 - 12 (5 points)
a) Shift the graph of y = x2 left 12 units.
b) Shift the graph of y = x2 down 12 units.
c) Shift the graph of y = x2 right 12 units.
d) Shift the graph of y = x2 up 12 units.
Answers
Answer:
b
Step-by-step explanation:
Given y = x² then y = x² + c is a vertical translation of y = x²
• If c > 0 then a shift up of c units
• If c < 0 then a shift down of c units
Here c = - 12 < 0
Thus y = x² - 12 is the graph of y = x² shifted 12 units down → b
Answer:
b) Shift the graph of y = x2 down 12 units.
Step-by-step explanation:
Graphs
The graph of the function
[tex]y=x^2[/tex]
can be found by giving the variable x some values and calculating the values of y as follows:
For x=-2, [tex]y=(-2)^2=4[/tex]. Point (-2,4)
For x=-1, [tex]y=(-1)^2=1[/tex]. Point (-1,1)
For x=0, [tex]y=(0)^2=0[/tex]. Point (0,0)
For x=1, [tex]y=(1)^2=1[/tex]. Point (1,1)
For x=2, [tex]y=(2)^2=4[/tex]. Point (2,4)
The graph of
[tex]y=x^2-12[/tex]
Can be similarly found:
For x=-2, [tex]y=(-2)^2-12=-8[/tex]. Point (-2,-8)
For x=-1, [tex]y=(-1)^2-12=-11[/tex]. Point (-1,-11)
For x=0, [tex]y=(0)^2-12=-12[/tex]. Point (0,-12)
For x=1, [tex]y=(1)^2-12=-11[/tex]. Point (1,-11)
For x=2, [tex]y=(2)^2-12=-8[/tex]. Point (2,-8)
The graphs are shown in the attached image. It can be clearly seen that the second graph (in blue) is shifted down 12 units with respect to the red graph. Answer:
b) Shift the graph of y = x2 down 12 units.
Related Questions
FIRST CORRECT ANSWER WILL BE MARKED BRAINLEST
Type SSS, SAS, ASA, SAA, or HL
to justify why the two smaller triangles are
congruent.
Answers
Answer:
SSS
BC = CB (COMMON)
AB = DC (DATA)
AE+EC = DE + EB
Will mark Brianliest !!!!!!!!!!! Please answer correctly !!!!!
Answers
Answer:
[tex]\boxed {\boxed {\sf 53}}[/tex]
Step-by-step explanation:
This is a right triangle, which we know because of the little square in the corner.
We can use the Pythagorean Theorem:
[tex]a^2+b^2=c^2[/tex]
where a and b are the legs and c is the hypotenuse.
In this triangle, 28 and 45 are the legs, because they make up the right angle. The unknown side is the hypotenuse, because it is opposite the right angle.
[tex]a=28 \\b=45 \\[/tex]
[tex](28)^2+(45)^2=c^2[/tex]
Solve the exponents.
(28)²= 28*28= 784[tex]784+(45)^2=c^2[/tex]
(45)²=45*45=2025[tex]784+2025=c^2[/tex]
Add the two numbers.
[tex]2809=c^2[/tex]
Solve for c by isolating it on one side of the equation. c is being squared. The Inverse of a square is the square root. Take the square root of both sides of the equation.
[tex]\sqrt{2809} =\sqrt{c^2}[/tex]
[tex]\sqrt{2809} = c[/tex]
[tex]53=c[/tex]
The third side and hypotenuse of the triangle is 53
[tex]\pink{\sf Third \: side \: of \: the \: triangle = 53}[/tex]
Solution :As, the given triangle is a right angled triangle,
Hence, We can use the Pythagoras' Theorem,
[tex]\star\:{\boxed{\sf{\pink {H^{2} = B^{2} + P^{2}}}}}[/tex]
Here,
H = Hypotenuse of triangleB = Base of triangle P = Perpendicular of triangleIn given triangle,
Base = 45 Perpendicular = 28 Hypotenuse = ?Now, by Pythagoras' theorem,
[tex]\star\:{\boxed{\sf{\pink {H^{2} = B^{2} + P^{2}}}}}[/tex]
[tex] \sf : \implies H^{2} = (45)^{2} + (28)^{2}[/tex]
[tex] \sf : \implies H^{2} = 45 \times 45 + 28 \times 28[/tex]
[tex] \sf : \implies H^{2} = 2025 + 784[/tex]
[tex] \sf : \implies H^{2} = 2809[/tex]
By squaring both sides :
[tex] \sf \sqrt{H^{2}} = \sqrt{2809}[/tex]
[tex] \sf : \implies H^{2} = \sqrt{2809}[/tex]
[tex] \sf : \implies H^{2} = \sqrt{(53)^{2}}[/tex]
[tex] \sf : \implies H^{2} = 53 [/tex]
[tex]\pink{\sf \therefore \: Third \: side \: of \: the \: triangle \: is \: 53}[/tex]
━━━━━━━━━━━━━━━━━━━━━
How do I find the missing length
Answers
Answer:
KJ = 40
Step-by-step explanation:
Usinh the similarity factor, LJ is similar with PR and QR is similar to KJ
and the similarity ratio is 56/42 = 4/3
which means KJ/30 = 4/3 cross multiply expressions
KJ = 40
Dawn is y years old.
Rashid is three times as old as Dawn.
Hugo is seven years younger than Dawn.
The total of Dawn's age, Rashid's age and Hugo's age is T years.
a) Find a formula for T in terms of y.
Answers
Answer:
T= y+ 3y-7
Step-by-step explanation
I'm pretty sure you can also write T= 4y-7 as a simplified form of the equation
The formula for T in terms of y can be written as;
T= y+ 3y -7
What is an equation?An equation is an expression that shows the relationship between two or more numbers and variables.
A mathematical equation is a statement with two equal sides and an equal sign in between. An equation is, for instance, 4 + 6 = 10. Both 4 + 6 and 10 can be seen on the left and right sides of the equal sign, respectively.
Given that Dawn is y years old.
So, Rashid is three times as old as Dawn means R = 3y
Hugo is seven years younger than Dawn means H = y - 7
The total of Dawn's age, Rashid's age and Hugo's age is T years.
We can also write T= 4y-7 as a simplified form of the equation
Learn more about equations here;
https://brainly.com/question/25180086
#SPJ2
Identify an equation in point-slope form for the line perpendicular to
y=1/4x-7 that passes through (-2,-6).
A. y+6= -4(x+2)
B. y+6= -1/4(x+2)
C. y+2 = -4(x+ 6)
D. y-6=1/4(x-2)
Answers
Given:
Equation of line is [tex]y=\dfrac{1}{4}x-7[/tex].
The perpendicular line passes through (-2,-6).
To find:
The point slope form of perpendicular line.
Solution:
We have,
[tex]y=\dfrac{1}{4}x-7[/tex]
On comparing this equation with [tex]y=mx+b[/tex], we get
[tex]m=\dfrac{1}{4}[/tex]
Slope of given line is [tex]\dfrac{1}{4}[/tex].
Product of slopes of two perpendicular of the lines is -1.
So, [tex]Slope\times \dfrac{1}{4}=-1[/tex]
[tex]Slope=-4[/tex]
Slope of required line is -4 and it passes through (-2,-6). So, the point slope form is
[tex]y-y_1=m(x-x_1)[/tex]
where, m is slope.
[tex]y-(-6)=-4(x-(-2))[/tex]
[tex]y+6=-4(x+2)[/tex]
Therefore, the correct option is A.
Need help fast thank you
Answers
Answer:
I think B
Step-by-step explanation:
Uhh
(I’ll give brainliest)
Answers
Answer:
i cant read it sorry
Step-by-step explanation:
Fast!!! Plz Help, Fill this out for me!!!!!!!!! Will give brainliest and it is also 15 points
Answers
2)Catherine biked father than 20 miles
3) The chair is shorter than 20 inches
4) Carlos scored over 20 points
if the second term of a geometric series is 48 and its fifth term is 6 then find the sum of its first term 6 terms
Answers
Answer:
The answer is 189.
Step-by-step explanation:
This geometric sequence is actually just a division of 2 for every term downwards. Therefore, we can see the first term is [tex]48 \cdot 2[/tex] which is 96. Hence, we can work our way down from there:
List:
First term: 96
Second term: 48
Third term: 24
Fourth term: 12
Fifth term: 6
Sixth term: 3
Now, all we have to do is to add all the first 6 terms together to get:
[tex]96 + 48 + 24 + 12 + 6 + 3[/tex]
[tex]= 189[/tex]
The answer is 189.
Hope this helped!
can somebody please help
Answers
Answer and Step-by-step explanation:
1. 3(5x - 4) = 8x + 2
15x - 12 = 8x + 2
15x - 8x = 2 + 12
7x = 14
x = 2
2. 9(n + 3) = 7n - 3
9n + 27 = 7n - 3
9n – 7n = -3 – 27
2n = – 30
n = –15
3. 2(10 - 6x) = x - 8x
20 - 12x = -7x
20 = -7x + 12x
20 = 5x
x = 4
4. 5a + 4(3a - 8) = 4 + 13a
5a + 12a - 32 = 4 + 13a
17a - 32 = 4 + 13a
17a - 13a = 4 + 32
4a = 36
a = 9
5. 2y + 18 = 12 - 6(y + 7)
2y + 18 = 12 - 6y - 42
2y + 6y = 12 - 42 - 18
8y = -48
y = -6
6. x - (5 - 3x) = 7x + 4
x - 5 + 3x = 7x + 4
4x - 7x= 4 + 5
-3x = 9
x = -3
7. 8(m - 5) = 2(3m - 8)
8m - 40 = 6m - 16
8m - 6m = -16 + 40
2m = 24
m = 12
8. -4(3 - 6d) = 9(2d - 2)
-12 + 24d = 18d - 18
24d - 18d = -18 + 12
6d = -6
d = -1
9. 7(10 - 3w) = 5(15 - 4w)
70 - 21w = 75 - 20w
-21w + 20w = 75 - 70
-w = 5
w = -5
10. 6t + 3(5t - 4) = 12(2t - 5)
6t + 15t - 12 = 24t - 60
21t - 24t = -60 + 12
- 3t = -48
t = 16
11. 2(9x - 1) = 99 - 7(3 - 4x)
18x - 2 = 99 - 21 + 28x
18x - 28x = 99 - 21+2
-10x = 80
x = -8
12. 6(5k - 8) - 20 = 11(2k - 3) + 3k
30k - 48 - 20 = 22k - 33 + 3k
30k - 68 = 25k - 33
30 - 25k = -33 + 68
5k = 35
k = 7
13. - x - (13 + 4x) = -3(5 - 9x) + 2
-x -13 - 4x = -15 + 27x + 2
-5x - 13 = -13 + 27x
-13 + 13 = 27x + 5x
0 = 32x
x = 0
HELP PLEASE!! Algebra II
Answers
Answer:
Step-by-step explanation:
J is correct.. that function can never be less than 2
PLEASE HELP “Determine whether the triangles are congruent. if so, name the postulate or theorem that justifies your answer.”
Answers
Answer: the triangles are congruent because
Step-by-step explanation: if you put them over lapping and switch the triangles then it would be the same. but you cant use this in your B answer.
what is the slope of (18,-5),(18,20)
Answers
Answer:
0/-25
Step-by-step explanation:
You use the slope formula the first x value you divided by the second x value and then put that at the numerator which equals 0 and the repeat with the y values and put the difference at the denominator and that equals -25
Line l is parallel to line m. If the measure of <6 is 75o, what is the measure of <2?
Answers
Answer:
∠ 2 = 75°
Step-by-step explanation:
∠ 6 and ∠ 2 are corresponding angles and are congruent, thus
∠ 2 = ∠ 6 = 75°
10. If x = -2, y=-6 and z= 4, find the value of 4xy
Z
Answers
Answer:
192
Step-by-step explanation:
Given
4xyz ← substitute given values into expression
= 4 × - 2 × - 6 × 4 = - 8 × - 24 = 192
PLEASE HELP ASAP THIS IS TIMED
Answers
Answer:
B
Step-by-step explanation:
1 4/5
2 over 5 divided by 6 over 7
Answers
Answer:
7/ 15
Step-by-step explanation:
2/ 5 × 7/ 6
reduce the numbers
1/ 5 × 7/ 3
multiply
= 7/ 15
hope it helps!
Find the surface are of a cylinder with a base diameter of 10m and a height of 7m. WLL GIVE BRAINLIEST IF U HAVE AN ACCURATE EXPLANATION!
Answers
Answer:
hi
Step-by-step explanation:
im adding an answer so u can giveee the guy brailiestz
Answer:
376.8 m²
Step-by-step explanation:
The formula for finding the surface area of a cylinder is SA=2πr²+2πrh, where r is the radius of the base and h is the height of the cylinder. Using the diameter of the base, we can first calculate that the radius of the base is 10/2=5 meters. Then, we can plug our values into the equation.
SA=2πr²+2πrh
SA=2π(5)²+2π(5)(7)
SA=2π(25)+2π(35)
SA=50π+70π
SA=120π
Because the question asks us to use 3.14 for π, we plug that into our equation.
SA=120(3.14)
SA=376.8 m²
I hope this helps!
Find the measure of each angle in the triangle.
Answers
Answer:
x=26°
Step-by-step explanation:
3x-14+x+90=180
4x-14=90
4x=104
x=104/4
x=26°
An animation shows a beetle crawling in a straight line from the point (0, 10) to the point (28, 84) in 2 seconds. Write
a pair of parametric equations to model the path of the beetle. Which point represents the location of the beetle 5
seconds after starting?
Answers
Answer:
It actually (70, 195)
Step-by-step explanation:
The point that represents the location of the beetle 5 seconds after starting are; (70, 195).
How to define Parametric Equations?The pair of parametric equations to model the path of the beetle is;
x(t)= 14t and y(t)= 37t + 10
An animation shows a beetle crawling in a straight line from the point (0, 10) to the point (28, 84) in 2 seconds.
Proving the answer;
At t(0,10), x = 0 and y = 10
Thus;
For X-coordinate;
x(0) = 14(0)
x(0) = 0
Similarly;
For y-coordinate;
y(0) = 37(0) + 10
y(0) = 10
That corresponds with the coordinate t(0, 10).
At t = 2 seconds, we have;
For x-coordinate;
x(2) = 14(2)
x(2) = 28
Similalry, for the y-coordinate;
y(2) = 37(2) + 10
y(2) = 160
Now, At t = 2 seconds, we have;
For x-coordinate;
x(5) = 14(5)
x(5) = 70
Similalry, for the y-coordinate;
y(5) = 37(5) + 10
y(5) = 195
The point that represents the location of the beetle 5 seconds after starting are; (70, 195).
Read more about Parametric Equations at;
brainly.com/question/10165611
#SPJ5
plzzz z z z z helpp p p p
Answers
Answer:
Step-by-step explanation:CAN I HAVE YOURE POINTS AND ITS THE SECOND ONE
Solve for x: -4|x +5| =-16
Answers
Answer:
|x+5|=-16/-4
|x+5|=4
x=4-5
x=-1
Answer:
Step-by-step explanation:
-4(x + 5)=-16
-4 x x - 4 x 5=-16
-4x - 20=-16
-4x - 20 + 20=-16+20
-4x=4
-4x/-4=4/-4
x=-1
A spherical balloon is being deflated at a rate of 5 cubic centimeters per second. At what rate is the radius of the balloon changing at the instant the volume of the balloon 972pi cm^3?
Answers
Answer:
0.0048cm/s
Step-by-step explanation:
Volume of the spherical balloon is expressed as;
[tex]V = 4/3 \pi r^3\\[/tex]
dV/dt = dV/dr * dr/dt
Given
dV/dt = 5cm³/s
dV/dr = 4πr²
Since V = 972picm³
972π = 4/3πr³
972 = 4/3r³
4r³ = 972 * 3
r³ = (972 *3)/4
r³ = 729
r = ∛729
r = 9cm
dV/dr = 4π(9)²
dV/dr = 324π
dV/dt = dV/dr * dr/dt
5 = 324πdr/dt
dr/dt = 5/324π
dr/dt = 5/324(3.14)
dr/dt = 5/1017.36
dr/dt = 0.0048cm/s
Put the following equation of a line into slope-intercept form, simplifying all
fractions.
4x-12y = -84
Answers
Answer: x-3y+21=0
Step-by-step explanation:
move the constant to the left then divide both sides then booom
This is a complex fraction
12 - 4 + 6 / 4 - 2 + 3
How do you solve it?
Answers
Answer:
I would start by adding/subracting the values in the numerator. by doing this you will get [tex]\frac{2}{4-2+3}[/tex] . Then do the same thing on the bottom to get [tex]\frac{2}{-1}[/tex] or -2
Answer:
I would start by adding/subracting the values in the numerator. by doing this you will get \frac{2}{4-2+3}
4−2+3
2
. Then do the same thing on the bottom to get \frac{2}{-1}
−1
2
or -2
Can you please help me?
Answers
Answer:
C = 21.98 in
Step-by-step explanation:
C = πd,
where C is the circumference, π equals 3.14, and d is the diameter.
C = πd
C = (3.14)(7)
C = 21.98 in
Hope this helps!
Solve for x -5|x+ 1| =10
Answers
Step-by-step explanation:
x-5(x+1)=10
x-5x-5=10
-4x-5-10=0
-4x-15=0
-4x=-15
x=-15/-4
x=3.75
sorry...the answer is wrong..dont write
Answer:
no solution
Step-by-step explanation:
Given
- 5 | x + 1 | = 10 ( divide both sides by - 5 )
| x + 1 | = - 2
To have a solution the right side of the equation must be positive or zero
No absolute value can have a negative solution
Thus the equation has no solution
Pentagon PENTA has coordinates P(0,0), E (4,4), N (8,4), T ( 8,-4), and A (4,-4) and is dilated at the origin with a scale factor of 3/4. Select all that are coordinates of P’E’N’T’A?
Answers
Answer:
5
Step-by-step explanation:
because thats the answer
Answer:
P'(0,0), E' (3,3), N'(6,3), T'(6,-3), A'(3,-3)
Step-by-step explanation:
1.The dilation is by a scale factor of 3/4 meaning it's less than one, meaning the image will get smaller.
2.To find the new coordinates, multiply 3/4 by each number in the coordinate pair. For example 4x3/4 is 3 making (4,4) (3,3).
hey ok so i’m having trouble with my math test and i need help ASAP. someone please help me answer the following questions.
Answers
Answer:
9 a) degree is 4 and variable is 0 and co efficient is z
b) degree is 5 and the constant term is 7
Use quadratic regression to find the equation for the parabola going through these three points (-7,134)(-3, 10)(5,50)
Please help me! Thanks
Answers
Answer:
Step-by-step explanation:
y = ax² + bx + c
a( - 7)² + b( - 7) + c = 134 ⇔ 49a - 7b + c = 134 ......... (1)
a( - 3)² + b( - 3) + c = 10 ⇔ 9a - 3b + c = 10 ......... (2)
a(5)² + b(5) + c = 50 ⇔ 25a + 5b + c = 50 ......... (3)
(1) - (2)
40a - 4b = 124 ⇔ 10a - b = 31 ........... (4)
(3) - (2)
16a + 8b = 40 ⇔ 2a + b = 5 ........... (5)
(4) + (5)
12a = 36 ⇒ a = 3
2(3) + b = 5 ⇒ b = - 1
9(3) - 3( - 1) + c = 10 ⇒ c = - 20
y = 3x² - x - 20
y = [ 3 ] x² + [ - 1 ] x + [ - 20 ]