Test Review: Linear Trans., Direct variation, and Exponent Rules

Match the following linear transformations.

• Vertical stretch

  Shifts left 3

  Shifts down 3

• 
• Shifts right 3

  Shifts up 2

• 
• Reflection

  Vertical compression

  Shifts down 7

• 
• Vertical compression

  Shifts right 1

  Shifts up 3

• 

If the graph of the parent function f(x) = x is shifted 7 units up, which of the following equations would the new graphed line represent?

• f(x) = 7x

• f(x) = x - 7

• f(x) = 7x - 7

• f(x) = x + 7

What is a transformation:

• The movie about robots and cars

• The change in a formation(on a graph)

• A coordinate plane

• A graph

 Which of the following describe the transformations for the function  $f\left(x\right)=-\left(x-3\right)+5$  ?

• reflect across the y-axis, shift 3 to the right and up 5

• reflect across the x-axis, shift 3 to the right and up 5

• reflect across the y-axis, shift 3 to the left and up 5

• reflect across the x-axis, shift 3 to the left and up 5

Which transformations are involved in the equation  $y=\frac{1}{2}\left(x+1\right)-1$  ?

• Horizontal translation left

• Vertical shrink

• Vertical translation down

• Horizontal translation right

• Vertical stretch

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 2 units up of the graph of f

• The graph of f is a horizontal translation two units left of g

• The graph of g is a vertical stretch by a factor of 2 of the graph of f

• Not here

Describe the transformation(s) from f(x) to g(x).

f(x) = 3x - 5

g(x) = -3x + 2

• Rotation steeper and translated up 7

• Rotation less steep and translated up 7

• Reflection and translated up 7

• Reflection and translated down 7 units

Given the function, f(x), which expression represents a reflection over the x-axis AND a vertical shift 2 units down?

• -f(x) + 2

• -f(x + 2)

• -f(x) - 2

• -f(x - 2)

The graphs of linear functions of f and g (blue line) are show on the grid. Which function is best represented by the graph of g?

The parent function g(x) is shown on the graph. The function f(x) is shown on the graph. The slope of f(x) is _________________ the slope of g(x).

• Steeper

• Less steep

• Equal to