Function Transformations Review

Describe the transformation that occurred.

f(x) = (x - 7)²

• Down 7

• Up 7

• Right 7

• Vertically compressed by 7

Tags

CCSS.HSF.BF.B.3

CCSS.HSF.IF.C.7

Describe the transformation that occurred

f(x) = x + 1

• Left 1

• Right 1

• down 1

• up 1

Tags

CCSS.HSF.BF.B.3

CCSS.HSG.CO.A.2

What are the transformations of:

  $f\left(x\right)\ =-\left(x-4\right)^3+2$  

• Reflect over x-axis, left 4, and up 2

• Reflect over x-axis, right 4, and up 2

• Reflect over y-axis, left 4, and up 2

• Reflect over y-axis, right 4, and up 2

Tags

CCSS.HSF.BF.B.3

CCSS.HSG.CO.A.2

CCSS.HSG.CO.A.5

Describe the transformation that occurred.

f(x) = x³ + 2

• Down 2

• Left 2

• Up 2

• Right 2

Tags

CCSS.HSF.BF.B.3

If f(x) = x³ is changed to f(x) = - (x + 3)³ + 2, how is the graph transformed?

• right 3, up 2, reflected across the y-axis

• right 3, up 2, reflected across the x-axis

• left 3, up 2, reflected across the y-axis

• left 3, up 2, reflected across the x-axis

Tags

CCSS.HSF.BF.B.3

Which of the following is the equation for the cubic function graphed above

• $y=\left(x+4\right)^3+3$

• $y=\left(x+4\right)^3-3$

• $y=\left(x-4\right)^3+3$

• $y=\left(x-4\right)^3-3$

Tags

CCSS.HSA.CED.A.2

CCSS.HSF.IF.B.4

CCSS.HSF.IF.C.7

Describe the transformation of the graph f(x) = -2(x + 5)³

• Vertically compressed by 2, Reflected over y-axis, Right 5

• Vertically stretched by 2, Reflected over x-axis, Left 5

• Vertically stretched by 2, Reflected over x-axis, Right 5

• Vertically compressed by 2, reflected over y-axis, Left 5

Tags

CCSS.HSF.BF.B.3

CCSS.HSF.IF.C.7

What transformations has the function undergone?

• reflect over y, vertical compression by 2, right 5, up 1

• reflect over x, horizontal compression by 2, left 5, up 1

• reflect over x, vertical stretch by 2, right 5, up 1

• reflect over y, horizontal stretch by -2, right 5, up 1

Tags

CCSS.HSF.BF.B.3

CCSS.HSG.CO.A.2

CCSS.HSG.CO.A.5

What function has the transformations:

Left 4 and up 7

• $f\left(x\right)\ =\ \left|x+4\right|+7$

• $f\left(x\right)\ =\ \left(x-4\right)^2\ +\ 7$

• $f\left(x\right)\ =\ \left(x+7\right)^2-\ 4$

• $f\left(x\right)\ =\ \left|x+4\right|-7$

Tags

CCSS.HSF.BF.B.3

CCSS.HSF.IF.B.4

What function has the transformations:

Vertical stretch by 7 and Reflected over x-axis

• $f\left(x\right)\ =\ -7x^2$

• $f\left(x\right)\ =\ 7\left|-x\right|$

• $f\left(x\right)\ =\ \sqrt{-7x}$

• $f\left(x\right)\ =\ -\left|7x\right|$

Tags

CCSS.HSF.BF.B.3

CCSS.HSF.IF.C.7