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 $$\frac{1}{4}$$

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Transformations Of Absolute Value And Quadratic

Transformations of Absolute Value and Quadratic

Authored by Anthony Clark

Mathematics

10th Grade

CCSS covered

Transformations of Absolute Value and Quadratic

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20 questions

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MULTIPLE SELECT QUESTION

1 min • 1 pt

Identify the transformation

Left 5

Right 5

Up 5

Down 5

Identify the transformation
(select all that apply).

$f\left(x\right)=\left|x+3\right|-2$

Left 3

Right 3

Up 2

Down 2

MULTIPLE SELECT QUESTION

1 min • 1 pt

Identify the transformation
(select all that apply).

$f\left(x\right)=-\left|x+2\right|+3$

Left 2

Right 2

Up 3

Reflect over y-axis

Reflect over x-axis

MULTIPLE SELECT QUESTION

1 min • 1 pt

Identify the transformation

Left 6

Right 6

Down 3

Reflect over y-axis

Reflect over x-axis

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

stretch

compress

DROPDOWN QUESTION

1 min • 1 pt

Describe the Transformation of the function; (a)

Vertical Compression

Vertical Stretch

Horizontal Shift RIGHT

Horizontal Shift LEFT

Reflection over the X-Axis

Vertical Shift DOWN

Vertical Shift UP

MULTIPLE CHOICE QUESTION

1 min • 1 pt

Match the equation to its description.

Reflected over x-axis and shifted up 4

Reflected over x-axis and shifted down 4

Reflected over x-axis and shifted right 4

Reflected over x-axis and shifted left 4

DRAG AND DROP QUESTION

1 min • 1 pt

$The\ parent\ function\ f\left(x\right)\ =\ x^2$ has translated by reflecting (a) and moving (b) and to the (c)
the final equation would look like (d)

up 3

down 3

right 1

left 1

across x axis

upward

$f\ =\ -\left(x-1\right)^2\ +3$

10.

DRAG AND DROP QUESTION

1 min • 1 pt

$The\ parent\ function\ f\left(x\right)\ =\ x^2$ has translated by opening (a) and moving (b) and to the (c)
the final equation would look like (d)

up 3

down 3

right 1

left 1

downward

upward

$f\ =\ -\left(x-1\right)^2\ +3$

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Transformations of Absolute Value and Quadratic

Identify the transformation

Identify the transformation (select all that apply). f(x)=∣x+3∣−2f\left(x\right)=\left|x+3\right|-2f(x)=∣x+3∣−2

Identify the transformation (select all that apply). f(x)=−∣x+2∣+3f\left(x\right)=-\left|x+2\right|+3f(x)=−∣x+2∣+3

Identify the transformation

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

Describe the Transformation of the function; ​ (a)

Match the equation to its description.

The parent function f(x) = x2The\ parent\ function\ f\left(x\right)\ =\ x^2The parent function f(x) = x2 has translated by reflecting (a) ​ and moving (b) and to the ​ (c) the final equation would look like ​ (d)

The parent function f(x) = x2The\ parent\ function\ f\left(x\right)\ =\ x^2The parent function f(x) = x2 has translated by opening ​ (a) ​ and moving (b) and to the ​ (c) the final equation would look like ​ (d)

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Discover more resources for Mathematics

Identify the transformation
(select all that apply).

$f\left(x\right)=\left|x+3\right|-2$

Identify the transformation
(select all that apply).

$f\left(x\right)=-\left|x+2\right|+3$

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

Describe the Transformation of the function; (a)

$The\ parent\ function\ f\left(x\right)\ =\ x^2$ has translated by reflecting (a) and moving (b) and to the (c)
the final equation would look like (d)

$The\ parent\ function\ f\left(x\right)\ =\ x^2$ has translated by opening (a) and moving (b) and to the (c)
the final equation would look like (d)