Graph Translations

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)

If (-2, 5) is on the graph of y = f(x), which of the following coordinates will be on the graph of y = 2f(3x)

• (-2/3 , 10)
• (-6, 10)
• (-2/3 , 5/2)
• (-4 , 15)

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

• (3 , 6)
• (1 , 6)
• (5 , 0)
• (-1 , 0)

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

Consider the given function.  Find the coordinates of the point (1, 1) on the image function.

• (4, 2)
• (1, -4)
• (1, -1)
• (-2, -3)

Tags

CCSS.8.F.A.1

CCSS.HSF.IF.A.1

Consider the function, f(x) = -√x.  Find the coordinates of the point (4, 2) on the image function. 

• (-4, 2)
• (-4, -2)
• (4, 2)
• (4, -2)

Tags

CCSS.8.F.A.1

CCSS.HSF.IF.A.1

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

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

Describe the transformation:

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

What transformation occurred?

• f(x+4)
• f(x) + 4
• f(x-4)
• f(x) -4