Linear Transformations Review 23-24

Linear Transformations Review

Multiple Choice

What is the equation for the parent linear function?

• y = 2x

• y = x

• y = ¼x

• y = x²

Multiple Choice

In order to determine if the linear function has shifted up or down (translated,) we look at the _ in the equation or on the graph.

• x-intercept

• y-intercept

• slope

• negative slope

Multiple Choice

In order to determine if the linear function has compressed or stretched (dilated), we look at the _ in the equation or on the graph.

• x-intercept

• y-intercept

• slope

• negative slope

Multiple Choice

In order to determine if the linear function has reflected (flipped), we look to see if the equation or graph have a _.

• x-intercept

• y-intercept

• slope

• negative slope

Multiple Choice

The function f(x) = x

has been transformed to

g(x) = x - 5.

Which of the following describes the change?

• vertical shift up 5 units

• vertical shift down 5 units

• horizontal shift right 5 units

• horizontal shift left 5 units

Multiple Choice

What description is best represented by the graph of g?

• stretched by a factor of  $$\frac{1}{3}$$  

• compressed by a factor of  $$\frac{1}{3}$$  

• compressed by a factor of 3 
  

• stretched by a factor of 3

Multiple Choice

Describe the transformation that occurred from the parent function to 

$$g\left(x\right)\ =-\ 2x$$  

• Compressed by a factor of 2

• reflected over the y-axis and compressed by a factor of 2

• reflected over the y-axis and stretched by a factor of 2

• Stretched by a factor of 2

Multiple Choice

If the graph of the parent function f(x) = x is shifted 7 units up and is vertically compressed by a factor of 1/3, what is the equation for the function?

• g(x) = 7x + 1/3

• g(x) = 1/3x - 7

• g(x) = 1/3x + 7

• g(x) = 7x - 1/3

Multiple Select

What are the transformations shown here? Check all that apply

$$-x+3$$  

• reflection

• shifted down 3

• shifted up 3

• compressed by 3

Multiple Select

How did the black function transform from the red parent function? Check all that apply

• Refleted

• Stretched by $$\frac{2}{5}$$

• Compressed by

  $$\frac{2}{5}$$

• shifted up 2

• shifted right 5

Multiple Choice

If the graph of the parent function f(x) = x is reflected over the y-axis and is vertically stretched by a factor of 5, what is the equation for the function?

• g(x) = 5x -1

• g(x) = -5x

• g(x) = -5x-1

• g(x) = 5x