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Transformation of a Quadratic

Authored by Anthony Clark

Mathematics

9th Grade

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Transformation of a Quadratic
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19 questions

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1.

MULTIPLE SELECT QUESTION

1 min • 1 pt

Which statements describe the effects on the graph of the quadratic parent function, f(x)=x^2?

The graph is reflected across the x-axis.

The graph is horizontally stretched by a scale factor of 2.

The graph is horizontally shifted three units to the right.

The graph is vertically shifted one unit down.

2.

MULTIPLE CHOICE QUESTION

1 min • 1 pt

Media Image

F

G

H

J

3.

MULTIPLE CHOICE QUESTION

1 min • 1 pt

Media Image

9,0

0,9

-9,0

0,-9

4.

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

f(x) = x2−7f\left(x\right)\ =\ x^2-7

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

f(x)= 5x2f\left(x\right)=\ 5x^2

f(x) =−5x2f\left(x\right)\ =-5x^2

5.

LABELING QUESTION

1 min • 1 pt

Label the graphs with the correct transformation compared to the parent functionf(x)=x^2

a
b
c
d
e

left

reflected

down

up

right

6.

MULTIPLE CHOICE QUESTION

1 min • 1 pt

Media Image

How does the graph of h(x)h\left(x\right)  shown here compare to the graph of the parent function  f(x)=x2f\left(x\right)=x^2  (not shown).

Vertical shrink by a factor of  14\frac{1}{4}  

Vertical stretch by a factor of  14\frac{1}{4}  

Reflection over x-axis

None of these

7.

LABELING QUESTION

1 min • 1 pt

Label how each number transforms the function

b
c
d
e

Stretched by a factor of 2

Right 3

Moves up 7

Reflected over the x-axis

Left 3

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