Transformation from Parent Functions

Describe the transformation that is applied to the parent function. 
f(x) =  3 Ix+8I

• Stretches by 3, Shifts left 8

• Stretches by 3, Shifts right 8

• Stretches by 3, Shifts up 8

• Stretches by 3, Shifts down 8

Describe the transformation

• left 2 up 5

• right 2 up 5

• left 2 down 5

• right 2 down 5

• reflected over x axis, stretched by 2, right 3, up 3

• reflected over x axis, stretched by 2, left 3 up 3.

• reflected over x axis, shrunk by 2, right 3, up 3

• reflected over the x axis, shrunk by 2, left 3, up 3

The graph of the function f was transformed to create the function g as shown below. Based on the graph, which equation can be used to describe g(x) in terms of f(x)?

• - f(x - 3) + 4

• - f(x - 3) - 4

• - f(x - 4) - 3

• - f(x - 4) + 3

• A

• B

• C

• D

Use the graphs of f and g to describe the transformation from the graph of f to the graph of g.

• The graph of g is a vertical translation 4 units up from the graph f

• The graph of g is a horizontal translation of the graph of f, 4 units right

• The graph of g is a horizontal translation of the graph of f, 4 units left

• The graph of g is a vertical stretch of the graph of f, by a factor of 7

The graph of parent function f(x) = x has been transformed to h(x) = f(x - 2) + 3.  Which graph represents this transformation?

• A

• B

• C

• D

What are the transformations of this functions compared to the parent function?

• 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

Describe the transformation from dotted to solid.

• f(x + 5) + 3

• f(x +3) + 5

• f(x - 5) + 3

• f(x - 3) + 5

Match the equation to its description.

• Right 2 and up 2

• Left 2 and up 2

• Right 2 and down 2

• Left 2 and down 2