Transformations of Quadratic Functions

Transformations of Quadratic Functions

Assessment

Assessment

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Mathematics

9th - 12th Grade

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50 questions

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1.

Multiple Choice

1 min

1 pt

Choose the equation of the quadratic function that is translated 6 units up, 2 units right, and is vertically stretched by a factor of 3 from the parent function.

f(x) = 3(x - 2)2+6

f(x) = 6(x + 2)2+3

f(x) = 3(x + 2)2 + 6

f(x) = 6(x - 2)2-3

2.

Multiple Choice

1 min

1 pt

Choose the equation of the quadratic function that is reflected over the x-axis and translated down 3.

f(x) = -x2 + 3

f(x) = -x2 -3

f(x) = -(x-3)2

f(x) = -(x+3)2

3.

Multiple Choice

1 min

1 pt

Media Image

Use transformations to identify the equation of the graph shown.

f(x) = (x - 5)2 - 2

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

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

f(x) = (x + 5)2 + 2

4.

Multiple Choice

1 min

1 pt

Media Image

Use transformations to identify the equation of the graph shown.

f(x) = (x + 3)2 - 8

f(x) = 3(x + 3)2 - 8

f(x) = (x - 3)2 - 8

f(x) = 2(x - 3)2 - 8

5.

Multiple Choice

1 min

1 pt

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

Wider

Narrower

Vertical translation up by 2 units.

Reflection across the x-axis.

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