Honors Algebra II Transformations

transformations formula

a√bx-h +k

if a is negative

reflected across the x-axis

if b is negative

reflected across the y-axis *factor out negative or set equal to 0

k

vertical shift

k +

up

k -

down

|a| > 1

vertical stretch

0 < |a| < 1

vertical compression

h

horizontal shift

h +

left

h -

right

endpoint

(h, k)

Describe the transformations of each function compared to the parent function.

right 7, up 2

Describe the transformations of each function compared to the parent function.

vertical stretch by 4, down 1

Describe the transformations of each function compared to the parent function.

reflected across x-axis, reflected across y-axis, right 3

Describe the transformations of each function compared to the parent function.

down 9, vertically stretched by 2, reflection in the y-axis

Describe the transformations of each function compared to the parent function.

up 3, left 5, reflection in the x-axis

The square root function is shifted 7 units left and 1 unit down, then reflected across the x-axis. Write an equation that represents this function.

f(x) = - √x+7 -1

The square root function has an endpoint located at (-2, 3) and reflected across the y-axis. Write an equation that represents this function.

√-(x+2) +3