Linear Transformations Graphs

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

• 
• 
• 
• 

A student graphed f(x) = x and g(x) = ⅓f(x). Which statement is true?

• The graph of f is steeper than the graph of g.

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

• The graph of f is shifted 2 units up to create the graph of g.

• The graph of f is shifted 2 units to the right to create the graph of g.

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

• f(x) = 7x

• f(x) = x - 7

• f(x) = x + 7

• f(x) = 7x - 7

A student graphed f(x)=x and g(x)=f(x)+8 on the same coordinate grid.
Which statement describes how the graphs of f and g are related?

• The graph of f is steeper than the graph of g.

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

• The graph of f is shifted 8 units up to create the graph of g.

• The graph of f is shifted 8 units down to create the graph of g.

• The graph of f is shifted 6 units down to create the graph of g.

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

• The graph of f is shifted 6 units up to create the graph of g.

• The graph of f is steeper than the graph of g.

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.

• 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.

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

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

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

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

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

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

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

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