All x values, from left to right.

All y values, from bottom to top.

All x values from bottom to top.

All y values from left to right.

All y values, from bottom to top.

All x values, from left to right.

All y values, from left to right.

All x values, from bottom to top.

Describe the transformation: f(x) = 3(x+1)³ - 2

left 1, down 2, vertical stretch (skinnier)

right 3, down 2, reflection across x

right 1, down 2, vertical stretch (wider)

Describe the end behavior of the cubic parent function:

As x −> −∞, f(x)−> −∞ As x −> ∞, f(x) −> ∞

As x −> −∞, f(x) −> ∞ As x −> ∞, f(x) −> ∞

As x −> −∞, f(x)−> −∞ As x −> ∞, f(x) −> −∞

As x −> −∞, f(x) −> ∞ As x −> ∞, f(x) −> −∞

Describe the end behavior of f(x) = −(x+4)² −7

As x −> −∞, f(x)−> −∞ As x −> ∞, f(x) −> −∞

As x −> −∞, f(x) −> ∞ As x −> ∞, f(x) −> ∞

As x −> −∞, f(x)−> −∞ As x −> ∞, f(x) −> ∞

As x −> −∞, f(x) −> ∞ As x −> ∞, f(x) −> −∞

Describe the Domain and Range of the square root function:

D: −∞ < x < ∞ R: −∞ < y < ∞

Describe the Domain and Range of f(x) = x³ + 5

D: −∞ < x < ∞ R: −∞ < y < ∞

Over what interval is f(x) = −x² increasing?

there is no interval of increase

Parent Functions Transformations and End Behavior

10th Grade - University

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Parent Functions Transformations and End Behavior

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10th Grade - University

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Practice Problem

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Hard

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CCSS

HSF.BF.B.3, 8.F.A.1, HSF-IF.C.7D

Standards-aligned

Barbara White

FREE Resource

30 questions

Show all answers

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

Name the parent function.

linear

constant

absolute value

quadratic

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

Name the parent function.

linear

quadratic

cube root

cubic

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

Name the parent function.

linear

quadratic

absolute value

cubic

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

Name the parent function.

linear

exponential

logarithmic

cubic

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

Name the parent function.

cube root

square root

cubic

quadratic

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

Name the parent function.

cube root

square root

cubic

squiggly

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

Name the parent function.

linear

quadratic

cubic

logarithmic

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Parent Functions Transformations and End Behavior

30 questions

Name the parent function.

Name the parent function.

Name the parent function.

Name the parent function.

Name the parent function.

Name the parent function.

Name the parent function.

Name the parent function.

Domain is:

Range is:

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