Transformations of Absolute Value Functions

Tags

2a.6c

• Horizontal translation 3 units left

• Horizontal translation 3 units right

• Vertical translation 3 units down

• Vertical translation 3 units up

Answer explanation

The + 3 is outside the absolute value bars, so that indicated a VERTICAL change. Because it is after the absolute value, it translates up 3 units.

Tags

2a.6c

• Horizontal translation 45 units left

• Horizontal translation 45 units right

• Vertical translation 45 units down

• Vertical translation 45 units up

Answer explanation

The - 45 is inside the absolute value bars. Since it is after the x, it moves right 45 units.

REMEMBER: Anything horizontal is the opposite of what you might think.

Tags

2a.6c

Tags

2a.6c

Tags

2a.6c

Tags

2a.6c

Tags

CCSS.HSF.BF.B.3

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

Reflection across the x-axis

Horizontal shift right 2 units

Vertical shift down 7 units

Tags

CCSS.HSF.BF.B.3

CCSS.HSF.IF.C.7

Describe the transformation of the equation below from the parent function of f(x) = I x I
g(x) = -2 I x - 3 I + 3

• reflected over x axis, vertically stretched by a factor of 2, right 3, up 3

• reflected over x axis, vertically stretched by a factor of 2, left 3, up 3

• reflected over x axis, vertically compressed by a factor of 2, right 3, up 3

• reflected over the x axis, vertically compressed by a factor of 2, left 3, up 3

Tags

CCSS.HSF.BF.B.3

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

--Reflection over the x-axis

Tags

CCSS.HSF.BF.B.3