Graph Transforations

If (3, -1) is on the graph of y = f(x), which of the following coordinates will be on the graph of y = 2f(x-1)+4.

• (8, 3)
• (2,, 6)
• (7, 3)
• (4, 2)

Tags

CCSS.HSF.BF.B.3

CCSS.HSF.IF.A.1

Consider the given function.  Find the coordinates of the point (0, 0) on the image function.   

• (2, 0)
• (-2, 0)
• (0, 2)
• (0 , 0)

Tags

CCSS.HSF.IF.A.2

Write an absolute value function given the following transformations:
Reflection across the x-axis
Vertical shift right 2 units
Horizontal shift down 7 units

• y = -|x + 2| - 7 
• y = |x - 2| - 7 
• y = -|x - 2| - 7
• y = -|x - 2| + 7

Tags

CCSS.HSF.BF.B.3

Write an absolute value function given the following transformations:
Vertical Stretch of 2
Horizontal shift left 1 unit
Vertical shift down 9 units

• f(x) = |2x + 1| - 9
• f(x) = |2x - 1| - 9
• f(x) = 2|x + 1| - 9 
• f(x) = 2|x - 1| - 9

Tags

CCSS.HSF.BF.B.3

CCSS.HSF.IF.C.7

What are the following transformations?
g(x) = - f(x+2)

• reflection over the y axis and 2 units to the right
• reflection over the x axis and 2 units right
• reflection over the y axis and 2 units left
• reflection over the x axis and 2 units left

Tags

CCSS.HSF.BF.B.3

CCSS.HSG.CO.A.2

CCSS.HSG.CO.A.4

What are the following transformations:
g(x) = f(-x) - 4

• reflection over the x axis and 4 units right
• reflection over the x axis and 4 units down
• reflection over the y axis and 4 units right
• reflection over the y axis and 4 units down

Tags

CCSS.HSF.BF.B.3

CCSS.HSG.CO.A.4

• y = Ix + 2I - 1
• y = -Ix + 2I - 1
• y = -Ix - 2I - 1
• y = -Ix + 1I - 2

Tags

CCSS.HSA.CED.A.2

CCSS.HSA.REI.D.10

CCSS.HSA.REI.D.11

Under a scale change, the image of the point (2, 4) is the point (1, -4).   Find the equation of the image function, if the parent function is f(x) = x²

• f(x) = -(x+1)²
• f(x) = -(2x)²
• f(x) = (-1/2 x)²
• f(x) = -(1/2 x)²

Tags

CCSS.HSA.CED.A.1

CCSS.HSA.CED.A.2

CCSS.HSF.BF.B.3

Name the parent function.

• linear
• quadratic
• absolute value
• cubic

Tags

CCSS.HSA.REI.D.10

CCSS.HSF.IF.B.4

CCSS.HSF.IF.C.7

Describe the transformation:

• f(x +3)
• f(x-3)
• f(x) - 3
• f(x) + 3 

Tags

CCSS.HSF.BF.B.3

CCSS.HSF.IF.C.7