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Quadratic Transformations

Authored by Taylor Allen

Mathematics

9th Grade

Used 5+ times

Quadratic Transformations
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15 questions

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1.

MULTIPLE CHOICE QUESTION

15 mins • 1 pt

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

a reflection across the line x = -4

a reflection across the line y = -4

a translation shifting f(x) 4 units to the left

a translation shifting f(x) 4 units to the right

2.

MULTIPLE CHOICE QUESTION

15 mins • 1 pt

Media Image

Match the description to its equation.
Moves up 2
Moves left 4

A
B
C
D

3.

MULTIPLE CHOICE QUESTION

15 mins • 1 pt

Which transformation will occur if f(x) = x2 is replaced with f(x) + 2?

Nothing happens, it stays the same.
Vertical stretch by a factor of 2.
Vertical translation up by 2 units.
Reflection across the x-axis.

4.

MULTIPLE CHOICE QUESTION

15 mins • 1 pt

Which transformation will occur if f(x) = x2 is replaced with -f(x)?

Nothing happens, it stays the same.

Vertical stretch by a factor of 2.

Vertical translation up by 2 units.

Reflection across the x-axis.

5.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

Given f(x) = (x + 6)² - 2 , how did we transform from the parent function?

Horizontal shift left 6, vertical shift up 2

Horizontal shift left 6, vertical shift down 2

Horizontal shift right 6, vertical shift down 2

Horizontal shift right 6, vertical shift up 2

6.

MULTIPLE CHOICE QUESTION

5 mins • 1 pt

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

7.

MULTIPLE CHOICE QUESTION

2 mins • 1 pt

Media Image

If the blue graph is
f(x) = x2 
then the red must be...

g(x) = x- 5
g(x) = x+ 5
g(x) = (x - 5)2
g(x) = (x + 5)2

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