Linear Transformations Remediation

$$y=x$$  

$$y=x^2$$  

$$y=x^3$$  

$$y=\sqrt[]{x}$$  

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1

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$$x$$  

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2

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None

$$y=5x$$  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 $$y=5x$$  

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

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

$$y=x-1$$  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 $$y=x$$  

$$y=x+6$$  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 $$y=x$$  

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

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

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

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

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

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

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

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

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.

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.