What are the transformations for the graph of the parent function f(x) = √x to the function above

Vertical Stretch by a factor of 2; translated down 5 units

Shifted right 2 units and down 5 units

Vertical stretch by a factor of 2; translated left 5 units

Vertical stretch by a factor of 2; translated right one unit

Which of the following correctly describes the domain and range for the function graphed?

D: $$\left[-5,\ \infty\ \right)$$ R: $$\left(-\infty,\ 4\right]$$

D: $$\left[-5,\infty\right)$$ R: $$\left[4,\infty\right)$$

D: $$\left(-\infty,\ \infty\right)$$ R: $$\left(-\infty,\ \infty\right)$$

D: $$\left[4,\infty\right)$$ R: $$\left(-\infty,\ -5\right]$$

Which of the facts is not true about the graph shown?

The function has been shifted 6 units right.

The function has been shifted up 1 unit

The function has been vertically stretched by a factor of 2.

[ 2 , ∞ ) \left[2,\infty\right) [ 2 , ∞ )

( − ∞ , ∞ ) \left(-\infty,\infty\right) ( − ∞ , ∞ )

( 2 , ∞ ) \left(2,\infty\right) ( 2 , ∞ )

( − 1 , ∞ ) \left(-1,\infty\right) ( − 1 , ∞ )

[ − 1 , ∞ ) \left[-1,\infty\right) [ − 1 , ∞ )

Identify the positive interval.

( 3 , ∞ ) \left(3,\infty\right) ( 3 , ∞ )

( 2 , ∞ ) \left(2,\infty\right) ( 2 , ∞ )

( − ∞ , ∞ ) \left(-\infty,\infty\right) ( − ∞ , ∞ )

( − 1 , ∞ ) \left(-1,\infty\right) ( − 1 , ∞ )

( − ∞ , ∞ ) \left(-\infty,\infty\right) ( − ∞ , ∞ )

[ − 1 , ∞ ) \left[-1,\infty\right) [ − 1 , ∞ )

[ 1 , ∞ ) \left[1,\infty\right) [ 1 , ∞ )

What is the interval of increase/decrease for the graph of the radical function?

I n c r e a s e : [ − 4 , ∞ ) D e c r e a s e : n o n e Increase:\left[-4,\ \infty\right)\ Decrease:\ none I n c r e a s e : [ − 4 , ∞ ) D e c r e a s e : n o n e

I n c r e a s e : n o n e D e c r e a s e : [ − 4 , ∞ ) Increase:\ none\ \ Decrease:\ \left[-4,\ \infty\right) I n c r e a s e : n o n e D e c r e a s e : [ − 4 , ∞ )

I n c r e a s e : [ − 2 , ∞ ) D e c r e a s e : n o n e Increase:\ \left[-2,\ \infty\right)\ Decrease:\ none I n c r e a s e : [ − 2 , ∞ ) D e c r e a s e : n o n e

I n c r e a s e : [ − 4 , ∞ ) D e c r e a s e : [ − 2 , ∞ ) Increase:\ \left[-4,\ \infty\right)\ \ Decrease:\ \left[-2,\ \infty\right) I n c r e a s e : [ − 4 , ∞ ) D e c r e a s e : [ − 2 , ∞ )

Which of the following is NOT true about the function graphed.

The function has no x-intercept.

The function is increasing over the interval (-infinity, infinity).

The function is translated 2 units left and 3 units up.

f ( x ) = 4 x + 2 − 3 f\left(x\right)=\ 4\sqrt{x+2}-3 f ( x ) = 4 x + 2 <path d="M95,702c-2.7,0,-7.17,-2.7,-13.5,-8c-5.8,-5.3,-9.5, -10,-9.5,-14c0,-2,0.3,-3.3,1,-4c1.3,-2.7,23.83,-20.7,67.5,-54c44.2,-33.3,65.8, -50.3,66.5,-51c1.3,-1.3,3,-2,5,-2c4.7,0,8.7,3.3,12,10s173,378,173,378c0.7,0, 35.3,-71,104,-213c68.7,-142,137.5,-285,206.5,-429c69,-144,104.5,-217.7,106.5, -221c5.3,-9.3,12,-14,20,-14H400000v40H845.2724s-225.272,467,-225.272,467 s-235,486,-235,486c-2.7,4.7,-9,7,-19,7c-6,0,-10,-1,-12,-3s-194,-422,-194,-422 s-65,47,-65,47z M834 80H400000v40H845z"> − 3 Describe the transformation, domain, and range for the provided function.

Vertical Stretch by 4, Left 2, Down 3 D o m a i n : [ − 2 , ∞ ) R a n g e : [ − 3 , ∞ ) Domain:\ \left[-2,\infty\right)\ \ \ \ \ \ \ \ \ \ \ Range:\ \left[-3,\ \infty\right) D o m a i n : [ − 2 , ∞ ) R a n g e : [ − 3 , ∞ )

Vertical Stretch by 4, Right 2, Up 3 Domain:\ \left[-2,\infty\right)\ \ \ \ \ \ \ \ \ \ \ Range:\ \left[-3,\ \infty\right) D o m a i n : [ − 2 , ∞ ) R a n g e : [ − 3 , ∞ )

Vertical Stretch by 4, Left 2, Down 3 D o m a i n : ( − ∞ , ∞ ) R a n g e : ( − ∞ , ∞ ) Domain:\ \left(-\infty,\infty\right)\ \ \ \ \ \ \ \ \ \ \ Range:\ \left(-\infty,\infty\right) D o m a i n : ( − ∞ , ∞ ) R a n g e : ( − ∞ , ∞ )

Vertical Stretch by 4, Right 2, Up 3 D o m a i n : ( − ∞ , ∞ ) R a n g e : ( − ∞ , ∞ ) Domain:\ \left(-\infty,\infty\right)\ \ \ \ \ \ \ \ \ Range:\ \left(-\infty,\infty\right) D o m a i n : ( − ∞ , ∞ ) R a n g e : ( − ∞ , ∞ )

Radicals Practice for Quiz 2B

Authored by Brandy Stapleton

Mathematics

11th Grade

CCSS covered

Used 3+ times

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66 questions

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MULTIPLE CHOICE QUESTION

2 mins • 1 pt

y ≥ 0

x ≥ -2

x ≤ -2

y ≥ 2

Tags

CCSS.8.F.A.1

CCSS.HSF.IF.B.5

MULTIPLE CHOICE QUESTION

2 mins • 1 pt

y ≤ 3

x ≥ 2

y ≥ 3

x ≤ 2

Tags

CCSS.HSF-IF.C.7B

MULTIPLE CHOICE QUESTION

2 mins • 1 pt

Tags

CCSS.HSF-IF.C.7B

MULTIPLE CHOICE QUESTION

2 mins • 1 pt

What kind of function is represented by the graph?

Cube Root Function

Cubic Function

Polynomial Function

Square Root Function

Tags

CCSS.HSF-IF.C.7B

MULTIPLE CHOICE QUESTION

2 mins • 1 pt

Name the parent function.

cube root

quadratic

cubic

square root

MULTIPLE CHOICE QUESTION

2 mins • 1 pt

x ≥ 3

x ≥ 0

x ≤ 0

All Real #s

Tags

CCSS.8.F.A.1

CCSS.HSF.IF.B.5

MULTIPLE CHOICE QUESTION

2 mins • 1 pt

Find the Domain

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Radicals Practice for Quiz 2B

What kind of function is represented by the graph?

Name the parent function.

Find the Domain

What are the transformations for the graph of the parent function f(x) = √x to the function above

Which of the following correctly describes the domain and range for the function graphed?

Describe the transformation.

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What are the transformations for the graph of
the parent function f(x) = √x to the function above