Absolute Value Functions (w/Transformations)

(4,0)

(0,4)

None

(5,0)

(7,2)

(2,7)

(-2,7)

(7,-2)

$$\left(-\infty,\infty\right)$$

$$\left(-\infty,0\right]$$

$$\left(-\infty,-3\right]$$

$$\left[0,\infty\right]$$

$$\left(-\infty,\infty\right)$$

$$\left(\infty,-\infty\right)$$

$$\left(-\infty,0\right]$$

$$\left(0,\infty\right)$$

$$\left(-\infty,\infty\right)$$

$$\left(-\infty,0\right]$$

$$\left[0,-\infty\right)$$

$$\left(-\infty,0\right)$$

y=4

x=4

AOS: 4

4

$$\left[\frac{1}{3},-\infty\right)$$

$$\left(-\infty,0\right]$$

$$\left(0,\infty\right)$$

$$\left(-\infty,\infty\right)$$

$$\left(-\infty,0\right]$$

$$\left(\infty,-\infty\right)$$

$$\left[-3,\infty\right)$$

$$\left[0,\infty\right)$$

Vertical Shrink of $$\frac{1}{3}$$

Reflection over the x-axis

Vertical Stretch of $$\frac{1}{3}$$

Reflection over the y-axis