Match the equation to its description.

Reflected over x-axis and shifted down 4

Reflected over x-axis and shifted up 4

Reflected over x-axis and shifted right 4

Reflected over x-axis and shifted left 4

Which of the following describes the transformations done to the quadratic parent function of f(x) = x 2 to obtain g(x) = 2x 2 + 4 ?

Vertical Stretch by a factor of 2 and vertical shift up 4 units

Vertical Shrink/Compress by a factor 2 and vertical shift up 4

Vertical Stretch by a factor of 2 and horizontal shift left 4 units

Vertical Shrink/Compress by a factor of 2 and horizontal shift right 4 units

How does the graph of $$h\left(x\right)$$ shown here compare to the graph of the parent function $$f\left(x\right)=x^2$$ (not shown).

Vertical shrink by a factor of $$\frac{1}{4}$$

Vertical stretch by a factor of $$\frac{1}{4}$$

Rewrite Quadratic Transformations Quiz

Rewrite Quadratic Transformations

Authored by Anthony Clark

Mathematics

9th Grade

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20 questions

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MULTIPLE CHOICE QUESTION

1 min • 1 pt

Rewrite the equation in vertex form. Select the correct answer.

y = 3(x + 2)² - 4

y = 3(x + 2)² + 4

y = 3(x - 2)² - 4

y = 3(x - 2)² + 4

MULTIPLE CHOICE QUESTION

1 min • 1 pt

Rewrite the equation in vertex form. Select the correct answer.

y = 2(x + 4)² - 5

y = 2(x - 4)² + 5

y = 2(x + 4)² + 5

y = 2(x - 4)² - 5

MULTIPLE CHOICE QUESTION

1 min • 1 pt

How does g(x) transform the quadratic parent function? Select the correct answer.

shift 9 left

shift 9 right

shift 9 down

shift 9 up

MULTIPLE CHOICE QUESTION

1 min • 1 pt

How does g(x) transform the quadratic parent function? Select the correct answer.

shift 3 left

shift 3 right

shift 3 down

shift 3 up

DROPDOWN QUESTION

1 min • 1 pt

"a" causes the parabola to vertically (a) when a > 1.

stretch

compress

LABELING QUESTION

1 min • 1 pt

Label the graphs with the correct transformation compared to the parent function $f\left(x\right)=x^2$

down

right

reflected

left

DROPDOWN QUESTION

1 min • 1 pt

"b" causes the parabola to horizontally (a) when $b<1$ .
TYPO ON PACKET

compress

stretch

10.

DRAG AND DROP QUESTION

1 min • 1 pt

The graph of quadratic parent function f was transformed to create the graph of e(x). Which two equations represent the translation on the graph? (Place the f(x) version in the second spot).

$e\left(x\right)=x^2\ +\ 3$

$e\left(x\right)=f\left(x\right)\ +\ 3$

$e\left(x\right)=x^2\ -\ 3$

$e\left(x\right)=f\left(x\right)\ -\ 3$

$e\left(x\right)=\left(x\ -\ 3\right)^2$

$e\left(x\right)=f\left(x\ -\ 3\right)$

$e\left(x\right)=\left(x\ +\ 3\right)^2$

$e\left(x\right)=f\left(x\ +\ 3\right)$

$e\left(x\right)=3f\left(x\right)$

$e\left(x\right)=3x^2$

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Rewrite Quadratic Transformations

Rewrite the equation in vertex form. Select the correct answer.

Rewrite the equation in vertex form. Select the correct answer.

How does g(x) transform the quadratic parent function? Select the correct answer.

How does g(x) transform the quadratic parent function? Select the correct answer.

"a" causes the parabola to vertically ​ (a) when a > 1.

Label the graphs with the correct transformation compared to the parent function f(x)=x2f\left(x\right)=x^2f(x)=x2

"b" causes the parabola to horizontally*​ (a) when b<1b<1b<1 .*TYPO ON PACKET

Match the equation to its description.

Parent function, f(x) = x2. Write the equation that would produce the transformed function, h(x), when the parent function is translated three units left, vertically compressed with a scale factor of one-third, and vertically translated down one unit.

The graph of quadratic parent function f was transformed to create the graph of e(x). Which two equations represent the translation on the graph? (Place the f(x) version in the second spot).

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"a" causes the parabola to vertically (a) when a > 1.

Label the graphs with the correct transformation compared to the parent function $f\left(x\right)=x^2$

"b" causes the parabola to horizontally (a) when $b<1$ .
TYPO ON PACKET

Parent function, f(x) = x². Write the equation that would produce the transformed function, h(x), when the parent function is translated three units left, vertically compressed with a scale factor of one-third, and vertically translated down one unit.