4.10.19 - 4th - CW - Transformations of Linear Graphs

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

Tags

CCSS.HSF.BF.B.3

CCSS.HSG.CO.A.2

CCSS.HSG.CO.A.4

CCSS.HSG.CO.A.5

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

• Steeper

• shift up

• Less steep

• shift down

Tags

CCSS.HSF.BF.B.3

CCSS.HSF.IF.C.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

Tags

CCSS.HSF.BF.B.3

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

Tags

CCSS.HSF.BF.B.3

Which line is the steepest?

• Blue because the equation has +4

• Red because it is the parent function

• Blue & Green have the same steepness

• Pink because the equation has a 5

Tags

CCSS.HSS.ID.C.7

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.HSA.REI.D.10

CCSS.HSG.GPE.B.5

CCSS.HSS.ID.C.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

Tags

CCSS.HSF.BF.B.3

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

Tags

CCSS.HSF.BF.B.3

CCSS.HSF.IF.B.4

CCSS.HSF.IF.C.7

How did the equation shift from the parent function? y=3x-2

• less steep and shift down 2

• Shift up 2

• Shift down 2

• steeper and shift down 2