Transformations

What is the linear parent function?

• f(x) = x 
• y = mx + b 
• f(x) = 2x 
• f(x)  = y 

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

• translated up 2
• translated down 2
• steeper
• translated right 2

How did the equation shift from the parent function? y=1/2x

• Steeper
• shift up
• Less steep
• shift down

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

Describe the transformation of f(x) that results in g(x):
g(x)=f(x-4)

• f(x) has been translated to the right 4.
• f(x) has been translated to the left 4.
• f(x) has been translated up 4.
• f(x) has been translated down 4.

Describe the transformation of f(x) that results in g(x):
g(x)=f(x)-4

• f(x) has been translated down 4.
• f(x) has been translated up 4.
• f(x) has been translated right 2
• f(x) has been translated left 2

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 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

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

Given f(x) = 2x +3.  Translate the function down 2 and write the new rule.

• g(x) = 2x +1
• g(x) = 2x + 5
• g(x)= x + 3
• g(x) = 2x +3