Transforming Functions

Describe the transformation of y = f(x) for the new function
 y = f(x) - 5

• The graph of y = f(x) was shifted to the right 5 units. 

• The graph of y = f(x) was shifted to the left 5 units. 

• The graph of y = f(x) was shifted up 5 units. 

• The graph of y = f(x) was shifted down 5 units.

Tags

CCSS.HSF.BF.B.3

Which equation describes the transformation of shifting f(x)=x² two units right?

• x² + 2

• x² - 2

• (x + 2)²

• (x - 2)²

Tags

CCSS.HSF.BF.B.3

What are the transformations?
y=3(x-4)²?

• horz shift right 4, vert stretch by a factor of 3

• horz shift left 4, vert stretch by a factor of 3

• horz shift right 4, vert stretch by a factor of 1/3

• horz shift right 4, vert shift up 3

Tags

CCSS.HSF.BF.B.3

CCSS.HSG.CO.A.2

CCSS.HSG.CO.A.5

Describe the transformation of y = f(x) for the new function
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

If the blue graph is f(x) (the original function) and the red graph is the transformation, what is the equation of the red graph?

• -f(x)

• f(-x)

• f^-1(x)

• f(2x)

Tags

CCSS.HSF.BF.B.3

CCSS.HSF.IF.B.4

CCSS.HSF.IF.C.7

  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(x)=x³+1

• g(x)=x³-1

• g(x)=(x-1)³

• g(x)=(x+1)³

Tags

CCSS.HSF.BF.B.3

CCSS.HSF.IF.B.4

CCSS.HSF.IF.C.7

Describe the transformation of y = f(x) to the new function
 y = f(1/5x)

• Horizontal shrink by a factor of 1/5

• Vertical stretch be a factor of 5

• Vertically shrink by a factor of 1/5

•  Horizontal stretch by a factor of 5

Tags

CCSS.HSF.BF.B.3

CCSS.HSG.CO.A.2

Let f(x) = |x + 1|. Which function would have a graph that is 5 units down of the graph of f?

• g(x) = |x + 1| + 5

• g(x) = |x + 1| - 5

• g(x) = |x + 6|

• g(x) = |x - 4|

Tags

CCSS.HSF.BF.B.3

• Left 2, Down 2, Vertical Stretch

• Right 2; Up 1; 

• Vertical Stretch; Right 2; Up 1

• Left 2; Down 2;

Tags

CCSS.HSA.CED.A.2

CCSS.HSA.REI.D.10

CCSS.HSF.BF.B.3

CCSS.HSG.CO.A.2

CCSS.HSG.CO.A.5

• Left 2; Up 2

• Right 2; Down 2

• Left 2; Up 2; Reflection over x-axis

• Vertical stretch by factor of 3; Right 2; Down 2

Tags

CCSS.HSF.BF.B.3

CCSS.HSG.CO.A.2

CCSS.HSG.CO.A.4

CCSS.HSG.CO.A.5

CCSS.HSG.CO.B.6