Linear Parent Function Transformations

Use the graphs of f and g to describe the transformation from the graph of f to the graph of g.

• The graph of g is a vertical translation 4 units up from the graph f

• The graph of g is a horizontal translation of the graph of f, 4 units right

• The graph of g is a horizontal translation of the graph of f, 4 units left

• The graph of g is a vertical stretch of the graph of f, by a factor of 7

Given f(x) = 2x +3. How does the graph compare to the parent function?

• The graph is shifted up 3 and is steeper by a factor of 2

• The graph is shifted down 3 and is a steeper by a factor of 2

• The graph is shifted up 3 and is less steep by a factor of 2

• The graph is shifted down 3 and is less steep by a factor of 2

How did the equation shift from the parent function? y=x+2

• translated up 2

• translated down 2

• steeper

• translated right 2

Troy graphed the line of the equation f(x) = 5x + 2. Sarah
graphed the line of the equation g(x) = 5x – 2 on the same
coordinate plane. Which of the following statements best
describes the line that Sarah graphed?

• Less steep by 2

• Vertical shift up 4

• Vertical shift down 4

• Steeper by 2

Use the graphs of f and g to describe the transformation from the graph of f to the graph of g.

• The graph of g is a vertical translation 2 units up of the graph of f

• The graph of f is a horizontal translation two units left of g

• The graph of g is a vertical stretch by a factor of 2 of the graph of f

• The graph of g is a reflection of the graph of f

What is the parent function

of linear functions?

• y = 2x

• y = mx + b

• f(x) = x

• Not here

What type of function is shown?

• absolute value

• quadratic

• linear

• exponential

f(x) = x

• Constant

• Linear

• Quadratic

• Absolute Value

The graph of parent function f(x) = x has been transformed to h(x) = f(x - 2) + 3.  Which graph represents this transformation?

• A

• B

• C

• D

The linear parent function, f(x) = x, is transformed to g(x) = f(x + 6). Describe the transformation.

• g(x) is shifted up 6 units

• g(x) is shifted down 6 units

• g(x) is shifted left 6 units

• g(x) is shifted right 6 units