Transformations of Absolute Value Functions

What is the parent function of the absolute value transformation?

• f(x) = x^2

• f(x) = |x|

• f(x) = x^3

• f(x) = √x

What is the transformation equation for absolute value functions?

• f(x) = a(x - h) + k

• f(x) = a|x - h| + k

• f(x) = a|x| + h + k

• f(x) = a|x + h| - k

What transformation is applied in the function f(x) = 1/3|x|?

• Vertical stretch

• Vertical compression

• Horizontal shift

• Reflection

What transformation is applied in the function f(x) = 2|x|?

• Vertical stretch

• Vertical compression

• Horizontal shift

• Reflection

What transformation is applied in the function f(x) = |x + 3|?

• Vertical shift up

• Vertical shift down

• Horizontal shift left

• Horizontal shift right

What transformation is applied in the function f(x) = |x - 2|?

• Vertical shift up

• Vertical shift down

• Horizontal shift left

• Horizontal shift right

What type of transformation is applied to the function $ f(x) = |x| + 1 $?

• Vertical shift up by 1 unit

• Vertical shift down by 1 unit

• Horizontal shift left by 1 unit

• Horizontal shift right by 1 unit

What type of transformation is applied to the function f(x) = |x| - 3 $?

• Vertical shift up by 3 units

• Vertical shift down by 3 units

• Horizontal shift left by 3 units

• Horizontal shift right by 3 units

What type of transformation is applied to the function f(x) = -|x| $?

• Reflection over the x-axis

• Reflection over the y-axis

• Vertical shift up by 1 unit

• Horizontal shift right by 1 unit