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Quadratic Transformation

Authored by Anthony Clark

Mathematics

9th Grade

Quadratic Transformation
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10 questions

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1.

MULTIPLE CHOICE QUESTION

1 min • 1 pt

Media Image

f(x) is transformed so that it maps onto g(x). Which equation would correctly represent g(x)

g(x)=f(x + 3)

g(x)=f(x - 3)

g(x)=f(x) + 3

g(x)=f(x) - 2

2.

MULTIPLE CHOICE QUESTION

1 min • 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

3.

MULTIPLE CHOICE QUESTION

1 min • 1 pt

Which equation matches the following transformation: up 4, stretched 3, reflected down, and left 1

4.

MULTIPLE CHOICE QUESTION

1 min • 1 pt

Given f(x) = ax² , if a > 1 , the graph will transform by

becoming wider or vertically compressed

becoming narrower or vertically stretched

5.

MULTIPLE CHOICE QUESTION

1 min • 1 pt

What steps transform the graph y = x2 to y = 2(x+2)2 - 5?

Compress by 2, shifted 2 units left and 5 down

Stretch by 5, shifted 5 units left and 2 down

Stretch by 2, shifted 2 units left and 5 down

Compress by 5, shifted 2 units left and 2 down

6.

MULTIPLE CHOICE QUESTION

1 min • 1 pt

What is the axis of symmetry in the function f(x) = (x-1)2 +2

x = 1

x = -1

x = 2

x = -2

7.

MULTIPLE CHOICE QUESTION

1 min • 1 pt

Identify the vertex of f(x) = 5(x+6)2 - 7

(5,6)

(0,0)

(6,-7)

(-6,-7)

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