Transformations of Parent Functions

$$y=-\left|x-15\right|-3$$

$$y=-\left|x+15\right|-3$$

$$y=\frac{1}{2}\left|x+3\right|-15$$

$$y=\frac{1}{2}\left|x-3\right|-15$$

$$y=\left|-x-15\right|-3$$

Vertical stretch by a factor of $$\frac{4}{5}$$  ,

Shift left 5 units,

Shift down 2 units

Vertical compression by a factor of $$\frac{4}{5}$$  ,

Shift right 5 units,

Shift up 2 units

Vertical stretch by a factor of $$\frac{4}{5}$$  ,

Shift right 5 units,

Shift up 2 units

Vertical compression by a factor of $$\frac{4}{5}$$  ,

Shift left 5 units,

Shift up 2 units

Vertical compression by a factor of $$\frac{4}{5}$$  ,

Shift left 5 units,

Shift down 2 units

Reflect over x, right 3, down 4

Reflect over y, right 3, down 4

Reflect over x, right 3, up 4

Reflect over y, left 3, down 4

y = (x - 2)² + 4

y = -(x - 4)² + 2

y = -(x - 2)² + 4

y = -(x + 2)² + 4