What transformations of the parent function, f(x) = √(x), is the function g(x) = 2√(x + 5)?

Vertical stretch and a horizontal shift left 5

Vertical stretch and a horizontal shift right 5

Vertical compression and a horizontal shift left 5

Vertical stretch and a vertical shift up 5

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.

What transformations have occurred to get from the parent function f(x) to the transformed function g(x)?

reflection over the x-axis,vertical stretch by a factor of 5

reflection over the x-axis,vertical shrink by a factor of -5

reflection over the x-axis,vertical shrink by a factor of 1/5

reflection over the y-axis,vertical stretch by a factor of 5

What are the transformations from the parent function? g ( x ) = 3 − x g\left(x\right)=3\sqrt{-x} g ( x ) = 3 − x <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">

Vertical stretch by 3, reflection in y-axis

Vertical stretch by 3, reflection in x-axis

Horizontal stretch by 3, reflection in x-axis

Horizontal shrink by 1/3, reflection in y-axis

What are the transformations to the graph compared to the parent function?

Shifted right 2, shifted up 3, and reflected over the x-axis

Shifted right 2, shifted up 3, and reflected over the y-axis

Shifted left 2, shifted up 3, and reflected over the y-axis

Shifted left 2, shifted up 3, and reflected over the x-axis

Given the function, which of the following correctly describes the transformations?

reflection over the x-axis, vertical compression by 1/3, horizontal shift left 1 and vertical shift down 5

reflection over the x-axis, vertical stretch by 3, horizontal shift left 1 and vertical shift down 5

reflection over the y-axis, vertical stretch by 1/3, horizontal shift left 1 and vertical shift down 5

reflection over the x-axis, vertical stretch by 1/3, horizontal shift right 1 and vertical shift down 5

Compare the two functions below. Which function has a domain x ≥ 1?

Cannot be determined from the graph alone.

Graphing Radical Functions

Authored by ALESHA RANAE BAYIHA

Mathematics

11th Grade

CCSS covered

Used 12+ times

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30 questions

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MULTIPLE CHOICE QUESTION

5 mins • 1 pt

Tags

CCSS.HSA.CED.A.2

MULTIPLE CHOICE QUESTION

2 mins • 1 pt

What kind of function is represented by the graph?

Cubic Root Function

Cubic Function

Polynomial Function

Square Root Function

Tags

CCSS.HSA.REI.D.10

CCSS.HSF.IF.B.4

CCSS.HSF.IF.C.7

MULTIPLE CHOICE QUESTION

5 mins • 1 pt

Tags

CCSS.HSF-IF.C.7B

MULTIPLE CHOICE QUESTION

1 min • 1 pt

Which of these equations shifts a radical equation left 3 times?

y = √(x) + 3

y = √(x) - 3

y = √(x + 3)

y = √(x - 3)

Tags

CCSS.HSF.BF.B.3

MULTIPLE CHOICE QUESTION

2 mins • 1 pt

Describe the transformation.

Down 1

Reflect over y-axis

Up 1

Reflect over x-axis

Tags

CCSS.HSF.BF.B.3

MULTIPLE CHOICE QUESTION

1 min • 1 pt

Which of these equations shifts a radical equation right 5 times and down once?

y = √(x - 5) - 1

y = √(x + 5) - 1

y = √(x - 5) + 1

y = √(x + 5) + 1

Tags

CCSS.HSF-IF.C.7B

MULTIPLE CHOICE QUESTION

45 sec • 1 pt

y = 2 √(x) - 4

y = - √(x - 4)

y = 2 √(x)

y = 2 √(x) + 4

Tags

CCSS.HSF-IF.C.7B

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Graphing Radical Functions

What kind of function is represented by the graph?

Which of these equations shifts a radical equation left 3 times?

Describe the transformation.

Which of these equations shifts a radical equation right 5 times and down once?

What function best describes this graph?

Describe the transformation

What is the domain of the graph of the radical function?

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