Down 2

Left 2

Up 2

Right 2

$y=\left(x+4\right)^3+3$

$y=\left(x+4\right)^3-3$

$y=\left(x-4\right)^3+3$

$y=\left(x-4\right)^3-3$

Vertically compressed by 2, Reflected over y-axis, Right 5

Vertically stretched by 2, Reflected over x-axis, Left 5

Vertically stretched by 2, Reflected over x-axis, Right 5

Vertically compressed by 2, reflected over y-axis, Left 5

reflect over y, vertical compression by 2, right 5, up 1

reflect over x, horizontal compression by 2, left 5, up 1

reflect over x, vertical stretch by 2, right 5, up 1

reflect over y, horizontal stretch by -2, right 5, up 1

$f\left(x\right)\ =\ \left|x+4\right|+7$

$f\left(x\right)\ =\ \left(x-4\right)^2\ +\ 7$

$f\left(x\right)\ =\ \left(x+7\right)^2-\ 4$

$f\left(x\right)\ =\ \left|x+4\right|-7$

$f\left(x\right)\ =\ -7x^2$

$f\left(x\right)\ =\ 7\left|-x\right|$

$f\left(x\right)\ =\ \sqrt{-7x}$

$f\left(x\right)\ =\ -\left|7x\right|$

Vertical compression by ⅓ and left 9

Vertical compression ⅓ and right 9

Horizontal stretch by 3 and left 9

Horizontal stretch by 3 and right 9

Vertically stretched by 6 and reflected over the x-axis

Vertically compressed by 6 and reflected over the y-axis

Vertically stretched by 6 and reflected over the y-axis

Vertically compressed by 6 and reflected over the x-axis

Linear

Absolute Value

Quadratic

Square Root

constant

quadratic

linear

absolute value

$f\left(x\right)\ =\ \left|x+2\right|$

$f\left(x\right)\ =\ \left|x+2\right|+2$

$f\left(x\right)\ =\ \left|x-2\right|+2$

$f\left(x\right)\ =\ \left|x-2\right|$

Vertically stretched by $\frac{1}{5}$ and translated up 4 units

Vertically stretched by 5 and translated down 4 units

Vertically compressed by 5 and translated up 4 units

Vertically compressed by $\frac{1}{5}$ and translated down 4 units

 $f\left(x\right)=\sqrt{x}+3$ 

 $f\left(x\right)\ =\sqrt{x}-3$ 

 $f\left(x\right)=\sqrt{x+3}$ 

 $f\left(x\right)=\sqrt{x-3}$ 

 $f\left(x\right)=\sqrt{x-5}-1$ 

 $f\left(x\right)=\sqrt{x-5}+1$ 

 $f\left(x\right)=\sqrt{x+5}-1$ 

 $f\left(x\right)=\sqrt{x+5}+1$ 

Vertical Stretch by a factor of 2; translated down 5

Shifted right 2 units and down 5 units

Vertical stretch by a factor of 2; translated left

Vertical stretch by a factor of 2; translated right one

$f\left(x\right)=-\sqrt{x+4}-2$

$f\left(x\right)=\sqrt{x-4}-2$

$f\left(x\right)=-\sqrt{x-4}-2$

$f\left(x\right)=\sqrt{x+4}+2$

Shifted right 5, down 2, and reflected over the x-axis

Reflected over the x-axis, vertical stretch by 2, and shifted right 5

Reflected over the x-axis, vertical stretch by 2, and shifted left 5

Shifted right 5 and down 2

$f\left(x\right)\ =\ x^2$

$f\left(x\right)\ =\ x$

$f\left(x\right)\ =\ \left|x\right|$

$f\left(x\right)\ =\ \sqrt{x}$

$f\left(x\right)\ =\ x^2$

$f\left(x\right)\ =\ x$

$f\left(x\right)\ =\ \left|x\right|$

$f\left(x\right)\ =\ \sqrt{x}$

$f\left(x\right)\ =\ x^2$

$f\left(x\right)\ =\ x$

$f\left(x\right)\ =\ \left|x\right|$

$f\left(x\right)\ =\ \sqrt{x}$