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Transformations of Quadratic Functions

Authored by Dana Cook

Mathematics

8th - 12th Grade

Used 3+ times

Transformations of Quadratic Functions
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20 questions

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1.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

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

a translation shifting f(x) 4 units up

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

2.

MULTIPLE CHOICE QUESTION

1 min • 1 pt

Media Image

If the blue 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

45 sec • 1 pt

How did we transform from f(x) =x
to
g(x) = -3x2

reflection in x-axis and vertical shift down
reflection x-axis and vertical stretch
horizontal stretch
reflection x-axis and vertical compression

4.

MULTIPLE CHOICE QUESTION

1 min • 1 pt

How did we transform from the parent function?
g(x) = -1/5(x - 1)2 + 7

reflection, vertical compression, horizontal right, vertical up
vertical compression, horizontal shift left, vertical shift up
reflection, horizontal shift right, vertical shift down
no changes were made to y = x2

5.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

Media Image

Match the description to its equation:
moves down 3

A
B
C
D

6.

MULTIPLE CHOICE QUESTION

20 sec • 1 pt

In the equation f(x)=5(x+3)2-10 what does the 5 do?

Vertical stretch by 5
Horizontal compress by 5
Reflect
Move up 5

7.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the vertical shift of this equation?
f(x) = -(x + 3)2 - 5

left 5
right 5
up 5
down 5

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