What are the transformations of this functions compared to the parent function y = √(x)?

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

The original function has equation f(x). State the transformations given the new function f(x) = ⅔(x - 7) 2

Horizontal Shrink of ⅔ Left 7

Right ⅔ Horizontal stretch of 7

Which is an example of a reflection across the x-axis/ flip of the graph?

f ( x ) = − x − 2 f\left(x\right)\ =\ -\sqrt{x-2} f ( x ) = − 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">

f ( x ) = x − 2 f\left(x\right)=\sqrt{x-2} f ( x ) = 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">

f ( x ) = x − 2 f\left(x\right)=\sqrt{x}-2 f ( x ) = 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"> − 2

Precalculus: Transformation of Functions

Authored by Treece Cousins-Hylton

Mathematics

10th - 11th Grade

CCSS covered

Used 123+ times

Precalculus: Transformation of Functions

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20 questions

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MULTIPLE CHOICE QUESTION

1 min • 12 pts

.
If the blue is f(x)=x^2,then the red must be

g(x)=x²-5

g(x)=x²+5

g(x)=(x-5)²

g(x)=(x+5)²

Tags

CCSS.HSF.BF.B.3

CCSS.HSA.REI.D.11

MULTIPLE CHOICE QUESTION

1 min • 12 pts

f(x) = 5x² + 2

Stretch of 5
Up 2

Shrink of 5
Up 2

Stretch of 5
Down 2

Shrink of 5
Down 2

Tags

CCSS.HSF.BF.B.3

CCSS.HSF.IF.C.7

MULTIPLE CHOICE QUESTION

1 min • 1 pt

g(x)=x³+1

g(x)=x³-1

g(x)=(x-1)³

g(x)=(x+1)³

Tags

CCSS.HSA.REI.D.11

CCSS.HSA.REI.D.10

CCSS.HSA.APR.B.3

MULTIPLE CHOICE QUESTION

1 min • 1 pt

g(x)=2x²

g(x)=0.5x²

g(x)=x²+2

g(x)=(x+2)²

Tags

CCSS.HSA.REI.D.11

CCSS.HSA.REI.D.10

CCSS.HSA.REI.B.4

MULTIPLE CHOICE QUESTION

1 min • 1 pt

.
If the blue is f(x)=x^2,the red must be

g(x)=(x+3)²

g(x)=(x-3)²

g(x)=x²+3

g(x)=x²-2

Tags

CCSS.HSF.BF.B.3

CCSS.HSA.REI.D.11

MULTIPLE CHOICE QUESTION

1 min • 12 pts

What are the following transformations?
- f(x+2)

reflection over the y axis and 2 units to the right

reflection over the x axis and 2 units right

reflection over the y axis and 2 units left

reflection over the x axis and 2 units left

Tags

CCSS.HSF.BF.B.3

CCSS.HSG.CO.A.2

MULTIPLE CHOICE QUESTION

1 min • 12 pts

What are the following transformations:
f(-x) - 4

reflection over the x axis and 4 units right

reflection over the x axis and 4 units down

reflection over the y axis and 4 units right

reflection over the y axis and 4 units down

Tags

CCSS.HSF.BF.B.3

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Precalculus: Transformation of Functions

. If the blue is f(x)=x2, then the red must be

f(x) = 5x2 + 2

. If the blue is f(x)=x2, the red must be

What are the following transformations?- f(x+2)

What are the following transformations:f(-x) - 4

Which equation describes the transformation of shifting f(x)=x3 four units down?

What are the transformations of this functions compared to the parent function y = √(x)?

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.
If the blue is f(x)=x^2,then the red must be

f(x) = 5x² + 2

.
If the blue is f(x)=x^2,the red must be

What are the following transformations?
- f(x+2)

What are the following transformations:
f(-x) - 4

Which equation describes the transformation of shifting f(x)=x³ four units down?