Line Transformations

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 second?

• Less steep by 2
• Vertical shift up 4
• Vertical shift down 4
• Steeper by 2

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

What is the linear parent function?

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

Order the following equations from steeper to less steep.
1. y=5x
2. y=1/2x
3. y=3x
4. y=1/3 x

• 1, 3, 2, 4
• 2, 4, 3, 1
• 1, 2, 4, 3
• 2, 3, 4, 1

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

• Shift up 2
• Shift down 2
• steeper
• flipped

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

• Steeper
• shift up
• Less steep
• shift down

How did the equation shift from the parent function? y=-3x+5

• Flipped, steeper, up 5
• Less steep
• Down
• Moved right

How did the equation shift from the parent function? y = -3f(x) + 5

• Reflection over x-axis, steeper, up 5
• Reflection over y-axis
• Steeper, down 5
• Moved right

How did the equation shift from the parent function? y = 4f(x - 3)

• Steeper and right 3
• Less steep and down 3
• Steeper and left 3
• Down

How did the equation shift from the parent function? y=4x-3

• Steeper and down
• Less steep and up
• Flipped
• Down