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Transformations to Quadratics

Authored by Anthony Clark

Mathematics

9th Grade

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Transformations to Quadratics
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20 questions

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1.

MULTIPLE CHOICE QUESTION

1 min • 5 pts

Which transformation transforms the graph of
f(x) = x2 to the graph of
g(x) = (x + 4)2?

a vertical translation 4 units up

a vertical translation 4 units down

a horizontal translation 4 units to the left

a horizontal translation 4 units to the right

2.

MULTIPLE CHOICE QUESTION

1 min • 5 pts

Media Image

If the blue graph is

f(x) = x2

then the red must be...

g(x) = x2 - 5

g(x) = x2 + 5

g(x) = (x - 5)2

g(x) = (x + 5)2

3.

MULTIPLE CHOICE QUESTION

1 min • 5 pts

Media Image

If red represents y = x2, which equation represents blue?

y = 2x2

y = -2x2

y = -x2

y = (x - 1)2

4.

DROPDOWN QUESTION

1 min • 1 pt

Media Image

Describe the Transformation of the function; ​ (a)  

Vertical Compression

Vertical Stretch

Horizontal Shift RIGHT

Horizontal Shift LEFT

Reflection over the X-Axis

Vertical Shift DOWN

Vertical Shift UP

5.

LABELING QUESTION

1 min • 1 pt

Label how each number transforms the function

b
c
d
e

Reflected over the x-axis

Moves up 7

Left 3

Right 3

Stretched by a factor of 2

6.

LABELING QUESTION

1 min • 1 pt

a
b
c
d
Horizontal Translation
Vertical Dilation
Horizontal Dilation
Vertical Translation

7.

LABELING QUESTION

1 min • 1 pt

Identify the possible functions that matches each specific transformation listed from the parent function f(x) = x^2

a
b
c
d

f(x)= −(x−7)2f\left(x\right)=\ -\left(x-7\right)^2

f(x)= −(x+7)2f\left(x\right)=\ -\left(x+7\right)^2

f(x)= (x+1)2+5f\left(x\right)=\ \left(x+1\right)^2+5

f(x) −15x2f\left(x\right)\ -\frac{1}{5}x^2

f(x)= 5x2f\left(x\right)=\ 5x^2

f(x)= (x−1)2+5f\left(x\right)=\ \left(x-1\right)^2+5

f(x) = x2−7f\left(x\right)\ =\ x^2-7

f(x) =−5x2f\left(x\right)\ =-5x^2

f(x)= (x+1)2−5f\left(x\right)=\ \left(x+1\right)^2-5

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