Line Transformations

What is the linear parent function?

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

Tags

CCSS.8.F.B.4

CCSS.HSF.LE.A.2

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

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

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

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

Chris has $100 in his savings account and he adds $20 a month to the account.
The total amount can be represented by the linear function T = 20x + 100. His goal is to have a total of $300 in four more months.
What should he change in the function to reach this goal?

• A) Change the amount he adds each month to $50.
• B)Change the amount he adds each month to $40.
• C)Change the y-intercept of the linear function to $20.
• D)Change the y-intercept of the linear function to $50.

Tags

CCSS.8.F.B.4

CCSS.HSF.LE.A.2

Morrison is researching different gyms’ cost to join. Each gym charges an initial fee to join and a monthly fee.
Work It Out gym uses the equation y = 35x + 40 and
Make Me Fit gym uses the equation y = 45x + 40. Which statement best describes the change?

• A. The initial fee is $10 higher. 
• B. The initial fee is $10 lower. 
• C. The monthly fee is $10 higher. 
• D. The monthly fee is $10 lower.

Tags

CCSS.8.F.B.4

CCSS.HSF.LE.A.2

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

Tags

CCSS.8.F.A.2

CCSS.HSF.IF.C.9

Describe the transformation:
-f(x)

• down 1
• left 1
• reflected over the x-axis
• vertically stretched

Tags

CCSS.HSF.BF.B.3