Transformations of Absolute Value Function

Write an absolute value function, g(x), given the following transformations from the parent function: --Reflection over the x-axis

Write an absolute value function, g(x), given the following transformations from the parent function:
--Vertical compression by a factor of 1/9

Describe the transformation that is applied to the parent function. f(x) = IxI -5

• Horizontal translation left 5 units

• Horizontal translation right 5 units

• Vertical translation up 5 units

• Vertical translation down 5 units

Write the equation, g(x), for a graph that is vertically compressed by a factor of 2/5 and shifted up 6.

• g(x)=6|x|-2/5

• g(x)=2/5|x|+6

• g(x)=2/5|x+6|

• g(x)=2/5|x-6|

• Horizontal translation left 7 units

• Horizontal translation right 7 units

• Vertical translation up 7 units

• Vertical translation down 7 units

Given the graph of f(x) below, write the equation of g(x) that is shifted down 6 and right 3.

Given the graph of f(x) below, write the equation of g(x) that is shifted left 6 and up 5.

Tags

CCSS.HSF-IF.C.7D

Which function defines the graph?

• f(x) = |x - 4| + 3

• f(x) = |x - 3| + 4

• f(x) = |-x + 4| + 3

• f(x) = |x + 4| + 3

Tags

CCSS.HSF-IF.C.7D

What is the equation of the graph below?

• f(x) = I x + 2 I 

• f(x) = I x  I + 2

• f(x) = I x  I - 2

• f(x) = I x - 2 I 

Tags

CCSS.HSF-IF.C.7D