Linear Transformation RETEST

The linear parent function, f(x) = x, is transformed to g(x) = f(x) + 3. Describe the transformation.

• g(x) is shifted up 3 units

• g(x) is shifted down 3 units

• g(x) is shifted left 3 units

• g(x) is shifted right 3 units

The graphs of linear functions f and g are shown on the grid.

Which function is best represented by the graph of g?

• $g\left(x\right)\ =\ f\left(x\right)-6$

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

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

• $g\left(x\right)=\frac{1}{4}f\left(x\right)$

 $f\left(x\right)=x$  and  $g\left(x\right)=2x-4$  
Which statement about the relationship of these two graphs is true?

• The graph of g is steeper than the graph of f, and the y-intercept has been translated up.

• The graph of g is less steep than the graph of f, and the y-intercept has been translated up.

• The graph of g is less steep than the graph of f, and the y-intercept has been translated down.

• The graph of g is steeper than the graph of f, and the y-intercept has been translated down.

 $f\left(x\right)=x$  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.

Which transformation will occur if $f\left(x\right)=x$  is replaced with  $-f\left(x\right)-4$  ?

• Vertical translation up and reflection

• Vertical translation down

• Vertical stretch (more steep) and vertical translation down

• Reflection and vertical translation down