Transforming Functions

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

• Shifted right 5, shifted down 2, and reflected over the x-axis
• Reflected over the x-axis, vertical stretch, and shifted right 5
• Reflected over the x-axis, vertical stretch, and shifted left 5
• Shifted right 5, shifted down 2

Tags

CCSS.HSF.BF.B.3

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

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

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

Let f(x) = |x + 2|. Which function would have a graph that is reflection in the x-axis of the graph of f?

• g(x) = |x - 2|

• g(x) = |-x + 2|

• g(x) = |-x - 2|

• g(x) = -|x + 2|

Tags

CCSS.HSF.BF.B.3

Let f(x) = 3x + 4. Which function would have a graph that is 4 units down of the graph of f?

• g(x) = 3x

• g(x) = 3x - 4

• g(x) = 3x - 8

• g(x) = 3x + 16

Tags

CCSS.HSF.BF.B.3

CCSS.HSF.IF.C.7

Let f(x) = 3x + 4. Which function would have a graph that is 1 units left of the graph of f?

• g(x) = 3x + 3

• g(x) = 3x + 5

• g(x) = 3x + 7

• g(x) = 3x + 1