Transformations of Functions Quiz

What is the transformation for the function f(x) = |x - 4|?

• Horizontal shift 4 units right

• Vertical shift 4 units up

• Horizontal shift 4 units left

• Vertical shift 4 units down

What is the transformation for the function f(x) = |x| + 2 $?

• Vertical shift 2 units down

• Vertical shift 2 units up

• Horizontal shift 2 units right

• Horizontal shift 2 units left

What is the transformation for the function f(x) = 3|x| ?

• Stretch by a factor of 3

• Compression by a factor of 3

• Shift down by a factor of 3

• Reflect by a factor of 3

What is the transformation for the function f(x) = -|x| $?

• Reflection over the x-axis

• Reflection over the y-axis

• Vertical shift 1 unit up

• Vertical shift 1 unit down

What is the transformation for the function f(x) = (1/2)|x| - 1 $?

• Compression by a factor of 1/2 and vertical shift 1 unit down

• Stretch by a factor of 2 and vertical shift 1 unit up

• Stretch by a factor of 2 and vertical shift 1 unit down

• Compression by a factor of 1/2 and vertical shift 1 unit up