Describe the transformations of the graph shown.

Shifted down 4 units, vertically compressed by a factor of 3, and shifted 6 units left.

Shifted down 4 units, horizontal compression by a factor of 3, and shifted 6 units left.

Shifted down 4 units, vertically compressed by a factor of 3, and shifted 6 units right.

Which translations map f(x) = 0.5√(x+7) - 1 onto a square root function with starting point (1, 3)?

Horizontal shift right 8 and vertical shift up 4

Horizontal shift left 6 and vertical shift up 4

Vertical compression and vertical shift down 4

Horizontal shift left 6 and vertical shift down 4

What are the transformations of this functions compared to the parent function?

Reflected over the x-axis, vertical stretch, and shifted right 5

Shifted right 5, shifted down 2, and reflected over the x-axis

Reflected over the x-axis, vertical stretch, and shifted left 5

Shifted right 5, shifted down 2

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

State the transformations: y = 1 2 x y=\frac{1}{2}\sqrt{x} y = 2 1 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 Compression by a F actor of 1 2 \frac{1}{2} 2 1

Horizontal Stretch by a Factor of 2

Horizontal Compression by a F actor of 1 2 \frac{1}{2} 2 1

Vertical Stretch by a F actor of 2

State the transformations: Choose all that apply. y = − 2 x + 5 + 2 y=-2\sqrt{x+5}+2 y = − 2 x + 5 <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"> + 2

Vertical Stretch by a F actor of 2

State the transformations: Choose all that apply. y = 2 x − 3 y=2\sqrt{x-3} y = 2 x − 3 <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 a Factor of 2

Vertical Compression by a Factor of 2

State the transformation: Choose all that apply. y = − 3 x − 2 y=-3\sqrt{x-2} y = − 3 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">

Vertical Stretch by a F actor of 3

State the transformations: Choose all that apply. y = 2 3 x + 4 y=\frac{2}{3}\sqrt{x+4} y = 3 2 x + 4 <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 Compression by a F actor of 2 3 \frac{2}{3} 3 2

Vertical Stretch by a F actor of \frac{2}{3} 3 2

Radical Functions

Authored by Kristine Caragayan

Mathematics

9th Grade

CCSS covered

Used 2+ times

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25 questions

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MULTIPLE CHOICE QUESTION

1 min • 1 pt

Vertical Stretch of 2, Up 3

Vertical Stretch of 3, Up 2

Vertical Stretch of 3, Down 2

Vertical Stretch of 3, Left 2

Tags

CCSS.HSF.BF.B.3

MULTIPLE CHOICE QUESTION

1 min • 1 pt

Which equation moves 4 down and left 3?

Tags

CCSS.HSF-IF.C.7B

MULTIPLE CHOICE QUESTION

1 min • 1 pt

Which equation has a vertical compression of 1/3, reflects over the x-axis and moves up 5?

Tags

CCSS.HSF.BF.B.3

MULTIPLE CHOICE QUESTION

1 min • 1 pt

Which equation has a vertical stretch of 7, moves left 16, and up 12?

Tags

CCSS.HSF-IF.C.7B

MULTIPLE CHOICE QUESTION

1 min • 1 pt

Vertical stretch of 4, Left 12, Up 73

Vertical stretch of 4, Right 12, Up 73

Vertical stretch of 4, Left 73, Down 12

Vertical stretch of 4, Right 73, Up 12

Tags

CCSS.HSF.BF.B.3

MULTIPLE CHOICE QUESTION

1 min • 1 pt

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

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 compression 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

Tags

CCSS.HSF.BF.B.3

MULTIPLE CHOICE QUESTION

1 min • 1 pt

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

D: [-5, infinity) R: (-infinity, 4]

D: [-5, infinity) R: [4, -infinity)

D: (-infinity, infinity) R: (-infinity, infinity)

D: [4, infinity) R: (-infinity, -5]

Tags

CCSS.8.F.A.1

CCSS.HSF.IF.B.5

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Radical Functions

Which equation moves 4 down and left 3?

Which equation has a vertical compression of 1/3, reflects over the x-axis and moves up 5?

Which equation has a vertical stretch of 7, moves left 16, and up 12?

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

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

Describe the transformations of the graph shown.

Describe the transformation.

Describe the transformation

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