Linear Transformations Remediation

Multiple Choice

What is the equation of the linear parent function?

• $$y=x$$  

• $$y=x^2$$  

• $$y=x^3$$  

• $$y=\sqrt[]{x}$$  

Multiple Choice

What is the SLOPE of the linear parent function ?

• 0

• 1

• 2

• $$x$$  

Multiple Choice

What is the Y-INTERCEPT of the linear parent function ?

• 1

• 2

• 0

• None

Multiple Choice

Compare $$y=x$$  and $$y=5x$$

• $$y=5x$$  is LESS STEEP than $$y=x$$  

• $$y=5x$$  is STEEPER than $$y=x$$  

• $$y=x$$ has the SAME slope as $$y=5x$$  

• $$y=x$$  is STEEPER than $$y=5x$$  

Multiple Choice

Compare $$y=x$$  and $$y=\frac{3}{2}x$$  

• $$y=\frac{3}{2}x$$  is STEEPER than $$y=x$$  

• $$y=x$$  is STEEPER than $$y=\frac{3}{2}x$$  

• $$y=\frac{3}{2}x$$  is LESS STEEP than $$y=x$$  

• $$y=x$$  has the SAME slope as $$y=\frac{3}{2}x$$  

Multiple Choice

Compare $$y=x$$  and $$y=\frac{1}{2}x$$  

• $$y=\frac{1}{2}x$$  is STEEPER than $$y=x$$  

• $$y=\frac{1}{2}x$$  is LESS STEEP than $$y=x$$  

• $$y=x$$  is STEEPER than $$y=\frac{1}{2}x$$  s

• $$y=x$$  has the SAME slope as $$y=\frac{1}{2}x$$  

Multiple Choice

Compare $$y=x$$  and $$y=x-1$$  

• $$y=x-1$$  is STEEPER than $$y=x$$  

• $$y=x-1$$  SHIFTED DOWN 1 unit from $$y=x$$  

• $$y=x-1$$  is LESS STEEP than $$y=x$$  

• $$y=x-1$$  SHIFTED UP 1 unit from $$y=x$$  

Multiple Choice

Compare $$y=x$$  and $$y=x+6$$  

• $$y=x+6$$  SHIFTED DOWN 6 units from $$y=x$$   

• $$y=x+6$$  is STEEPER than $$y=x$$  

• $$y=x+6$$  SHIFTED UP 6 units from $$y=x$$  

• $$y=x+6$$  is LESS STEEP than $$y=x$$  

Multiple Choice

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

• $$g\left(x\right)=f\left(x\right)+3$$  

• $$g\left(x\right)=f\left(x\right)-3$$  

• $$g\left(x\right)=3f\left(x\right)$$  

• $$g\left(x\right)=-3f\left(x\right)$$  

Multiple Choice

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

• $$g\left(x\right)=f\left(x\right)+4$$  

• $$g\left(x\right)=f\left(x\right)+5$$  

• $$g\left(x\right)=3f\left(x\right)$$  

• $$g\left(x\right)=\frac{1}{3}f\left(x\right)$$  

Multiple Choice

$$f\left(x\right)=x$$  and  $$g\left(x\right)=2x-4$$  

Which statement about the relationship of these two graphs is true?

• The graph of $$g\left(x\right)$$   is steeper than the graph of $$f\left(x\right)$$  , and the y-intercept has been translated up.

• The graph of $$g\left(x\right)$$ is less steep than the graph of $$f\left(x\right)$$  , and the y-intercept has been translated up

• The graph of $$g\left(x\right)$$   is less steep than the graph of $$f\left(x\right)$$  , and the y-intercept has been translated down.

• The graph of $$g\left(x\right)$$   is steeper than the graph of $$f\left(x\right)$$  , and the y-intercept has been translated down.

Multiple Choice

$$f\left(x\right)=x$$  and  $$g\left(x\right)=-\frac{2}{3}x$$  

Which statement about the relationship between these two graphs is true?

• The graph of g is less steep than the graph of f.

• The graph of g is less steep than the graph of f, and is reflected.

• The graph of g is reflected, and the y-intercept is translated down.

• The graph of g is steeper than the graph of f, and is reflected.