Transformation From Graph

Which function is graphed?

• f(x) = -|2x - 5| + 5

• f(x) = -|x - 3| - 3

• f(x) = -2|x + 3| + 5

• f(x) = -2|x + 5| - 3

Tags

CCSS.HSF-IF.C.7D

Describe the transformation from the parent function: y = 3x + 5

• Steeper; Shift up 5 units

• Steeper; Shift down 5 units

• Flatter; Shift up 5 units

• Flatter; Shift down 5 units

What is the equation of the graph below?

• f(x) = I x I + 1

• f(x) = I x I - 1

• f(x) = -I x I + 1

• f(x) = -I x I - 1

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)

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

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