Function Transformation Rules

• Compressed by 1/2, shifted 4 units right and 1 unit up

• Reflected across x-axis, compressed by 1/2, shifted 4 units right and 1 unit up

• Reflected across x-axis, stretched by 1/2, shifted 4 units left and 1 unit up

• Stretched by 1/2, shifted 4 units right and 1 unit down

A horizontal shift/translation to the left occurs if the vertex moves _____. Another way to tell is if the sign in front of the h is _____

• right, +

• right, -

• left, +

• left, -

A vertical shift down occurs if the vertex moves _____. The sign in front of the k value will be _____

• down, +

• down, -

• up, +

• up, -

A reflection across x axis has occurred to a function if the a value is _____

• positive

• negative

Tags

CCSS.HSF.BF.B.3

g(x) = -|x|

• Reflection across the x-axis

• Reflection across the y-axis

• Vertical translation down 1

• Horizontal translation left 1

• Vertical Stretch by a factor of 4

• Horizontal stretch by a factor of 4

• Horizontal compression by a factor of 1/4

• Horizontal stretch by a factor of 4/3

• Horizontal compression by a factor of 4/3

• Vertical stretch by a factor of 4/3

• Vertical compression by a factor of 4/3

g(x) = |x| + 3

• Horizontal translation 3 units left

• Horizontal translation 3 units right

• Vertical translation 3 units down

• Vertical translation 3 units up

Given f(x )= |x| g(x) = f(-x)

• reflection about the x-axis

• reflection about the y-axis

• Vertical translation down 1 unit

• Horizontal translation left 1 unit

Given f(x)= |x| g(x) = f(x - 6)

• g(x) = |x - 6|

• g(x) = |x| - 6

• g(x) = -6|x|