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Graphing Quadratic Equations with Transformations

Authored by Anthony Clark

Mathematics

9th Grade

Graphing Quadratic Equations with Transformations
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11 questions

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1.

MULTIPLE CHOICE QUESTION

1 min • 1 pt

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

Wider

Narrower

Vertical translation up by 2 units.

Reflection across the x-axis.

2.

MULTIPLE CHOICE QUESTION

1 min • 1 pt

f(x)=-4x2

Up and skinnier

Up and wider

Down and skinnier

Down and wider

3.

MULTIPLE CHOICE QUESTION

1 min • 1 pt

Which variable, when negative, can cause the parent function to reflect across the x-axis (face downwards)?

a

h

k

4.

MULTIPLE SELECT QUESTION

1 min • 1 pt

Which describes the transformation of f(x) = x2 to the graph of g(x) = 1/4x2?

vertical stretch

horizontal stretch

vertical compression

horizontal compression

5.

MULTIPLE SELECT QUESTION

1 min • 1 pt

What transformation has occurred form the quadratic parent function.

Vertical Stretch

Vertical Compression

Right Two

Left Two

Down Four

6.

MULTIPLE CHOICE QUESTION

1 min • 1 pt

What transformation has happened from f(x) = x2 to f(x) = -3x2 ?

The new function reflects about the y-axis.

The new function reflects about the x-axis and gets narrower.

The new function reflects about the x-axis and gets wider.

The new function gets narrower.

7.

MULTIPLE CHOICE QUESTION

1 min • 1 pt

What transformation were made to this function y=5(x+2)2+7?

up 5, right 2, vertical shrink by 7

vertical stretch by 5, left 2, up 7

reflect over the x axis, right 5, up 5

vertical shrink by 5, up 2, left 7

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