Which of the following does not describe the graph of the parent function of a quadratic equation?

The graph has a range of all real numbers

The graph has a domain of all real numbers

What transformation occurred to create g(x)? g ( x ) = f ( 4 x ) g\left(x\right)=f\left(4x\right) g ( x ) = f ( 4 x )

horizontal compression times 1/4

Parent Function Transformations

Authored by Marsha Guidry

Mathematics

9th - 12th Grade

CCSS covered

Used 17+ times

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11 questions

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MULTIPLE SELECT QUESTION

1 min • 1 pt

Which of the parent functions have an asymptote? Choose all that apply.

Quadratic

Rational

Logarithmic

Square Root

Exponential

Tags

CCSS.HSF-IF.C.7E

MULTIPLE SELECT QUESTION

1 min • 1 pt

The graph of $f\left(x\right)=\sqrt{x}$ is transformed to create $g\left(x\right)=f\left(x+5\right)-1$ . Describe the graph of g(x) in relation to f(x).

shifted left 5 units

shifted right 5 units

shifted up 1 unit

shifted down 1 unit

reflection across the x-axis

Tags

CCSS.HSF.BF.B.3

MULTIPLE SELECT QUESTION

2 mins • 1 pt

Describe the transformations for the following function $h\left(x\right)=2\left(x-3\right)^2+5$ from the parent function $g\left(x\right)=x^2$

vertical stretch times 2

horizontal stretch times 2

shift left 3 units

shift up 5 units

shift right 3 units

Tags

CCSS.HSF.BF.B.3

CCSS.HSG.CO.A.2

MULTIPLE CHOICE QUESTION

1 min • 1 pt

Describe the transformation of f(x) to g(x) from the graph.

shift left 2 units

shift right 2 units

vertical stretch

horizontal stretch

Tags

CCSS.HSF.BF.B.3

CCSS.HSG.CO.A.2

MULTIPLE CHOICE QUESTION

1 min • 1 pt

What are the domain and range of g(x)?

D: [-2, infinity) R: (0, infinity)

D: [-2, infinity) R: [0, infinity)

D: [-2, infinity) R: [1, infinity)

D: [-2, infinity) R: (1, infinity)

MULTIPLE CHOICE QUESTION

1 min • 1 pt

Which parent function does NOT have an x-intercept and y-intercept at the origin?

$f\left(x\right)=\left|x\right|$

$g\left(x\right)=\log_2x$

$h\left(x\right)=\sqrt{x}$

$k\left(x\right)=x^2$

Tags

CCSS.HSF-IF.C.7E

MULTIPLE CHOICE QUESTION

45 sec • 1 pt

The graph of $f\left(x\right)$ is transformed to create $g\left(x\right)=3f\left(x\right)$ . Which of the following describes the transformation?

f(x) is translated 3 units left

f(x) is vertically stretched by a factor of 3

f(x) translated 3 units up

f(x) is horizontally stretched by a factor of 3

Tags

CCSS.HSF.BF.B.3

MULTIPLE SELECT QUESTION

1 min • 1 pt

Describe the transformations of the function $g\left(x\right)=-\left|x+2\right|-7$ from the parent function $f\left(x\right)=\left|x\right|$

reflection across x axis

reflection across y axis

shift left 2

shift right 2

down 7

Tags

CCSS.HSF.BF.B.3

CCSS.HSG.CO.A.2

CCSS.HSG.CO.A.5

10.

MULTIPLE CHOICE QUESTION

2 mins • 1 pt

Describe the transformation of $g\left(x\right)=\frac{1}{2}\left(x+4\right)^3$ from the parent function $f\left(x\right)=x^3$ .

vertical compression times 1/2; shift right 4 units

horizontal compression times 1/2; shift left 4 units

vertical compression times 1/2; shift left 4 units

horizontal stretch times 2; shift right 4 units

Tags

CCSS.HSF.BF.B.3

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Parent Function Transformations

Which of the parent functions have an asymptote? Choose all that apply.

The graph of f(x)=xf\left(x\right)=\sqrt{x}f(x)=x​ is transformed to create g(x)=f(x+5)−1g\left(x\right)=f\left(x+5\right)-1g(x)=f(x+5)−1 . Describe the graph of g(x) in relation to f(x).

Describe the transformations for the following function h(x)=2(x−3)2+5h\left(x\right)=2\left(x-3\right)^2+5h(x)=2(x−3)2+5 from the parent function g(x)=x2g\left(x\right)=x^2g(x)=x2

Describe the transformation of f(x) to g(x) from the graph.

What are the domain and range of g(x)?

Which parent function does NOT have an x-intercept and y-intercept at the origin?

The graph of f(x)f\left(x\right)f(x) is transformed to create g(x)=3f(x)g\left(x\right)=3f\left(x\right)g(x)=3f(x) . Which of the following describes the transformation?

Describe the transformations of the function g(x)=−∣x+2∣−7g\left(x\right)=-\left|x+2\right|-7g(x)=−∣x+2∣−7 from the parent function f(x)=∣x∣f\left(x\right)=\left|x\right|f(x)=∣x∣

Which of the following does not describe the graph of the parent function of a quadratic equation?

Describe the transformation of g(x)=12(x+4)3g\left(x\right)=\frac{1}{2}\left(x+4\right)^3g(x)=21​(x+4)3 from the parent function f(x)=x3f\left(x\right)=x^3f(x)=x3 .

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The graph of $f\left(x\right)=\sqrt{x}$ is transformed to create $g\left(x\right)=f\left(x+5\right)-1$ . Describe the graph of g(x) in relation to f(x).

Describe the transformations for the following function $h\left(x\right)=2\left(x-3\right)^2+5$ from the parent function $g\left(x\right)=x^2$

The graph of $f\left(x\right)$ is transformed to create $g\left(x\right)=3f\left(x\right)$ . Which of the following describes the transformation?

Describe the transformations of the function $g\left(x\right)=-\left|x+2\right|-7$ from the parent function $f\left(x\right)=\left|x\right|$

Describe the transformation of $g\left(x\right)=\frac{1}{2}\left(x+4\right)^3$ from the parent function $f\left(x\right)=x^3$ .