Graph Transformations

Given  $f\left(x-3\right)+5$  . What transformations took place from the original function f(x)?

• Left 3 and up 5

• Right 3 and down 5

• Left 3 and down 5

• Right 3 and up 5

Tags

CCSS.HSF.BF.B.3

The blue function is the original function f(x) = x³. Which of the following is the correct equation for the red function, g(x)?

• $g\left(x\right)=x^3+1$

• $g\left(x\right)=x^3-1$

• $g\left(x\right)=\left(x-1\right)^3$

• $g\left(x\right)=\left(x+1\right)^3$

Tags

CCSS.HSF.BF.B.3

 $3f\left(x-2\right)$  Identify the transformations. 

• horizontal shift to the left 2 and vertical stretch by a factor of 3

• horizontal shift to the right 2 and vertical stretch by a factor of 3

• horizontal shift to the right 2 and vertical shrink by a factor of 3

• horizontal shift to the left 2 and vertical shrink by a factor of 3

If the original function is f(x) then state the transformation that takes  $f\left(x\right)$   to $g(x)=|-x+3|$ 

• Left 3 then Reflect over y-axis

• Right 3 then Reflect over y-axis

• Left 3 then Reflect over x-axis

• Right 3 then Reflect over x-axis

Describe the parent graph transformation

• h. stretch, left 1, down 3
• h. shrink, right 1, down 3
• v. shrink, left 1, down 3
• v. stretch, right 1, down 3

Tags

CCSS.HSF.BF.B.3

Which equation is shown?

• y = (x-2)²
• y = (x+2)²

Tags

CCSS.HSF-IF.C.7A

Which equation below is a quadratic function translated up 5 units?

• y = x² + 5
• y = (x + 5)²
• y = 5x²
• y = -x² - 5

Tags

CCSS.HSF.BF.B.3

CCSS.HSF.IF.B.4

CCSS.HSF.IF.C.7

Name the parent function. 

• linear
• constant
• absolute value
• quadratic

Tags

CCSS.HSF.IF.A.1

Name the parent function.

• linear
• quadratic
• absolute value
• cubic

Tags

CCSS.HSA.REI.D.10

CCSS.HSF.IF.B.4

CCSS.HSF.IF.C.7

Name the parent function.

• linear
• quadratic
• cubic
• logarithmic

Tags

CCSS.HSA.REI.D.10