Function and transformation: Translation

Right 3 units

Vertical Stretch

Up 3 units

Left 3 units

up 2 units

left 2 units

Vertical Strech

right 2 units

y = x² - 5

y = x² + 5

y = (x - 5)²

y = (x + 5)²

$$y=x^2+8$$

$$y=x^2-8$$

$$y=\left(x+8\right)^2$$

$$y=\left(x-8\right)^2$$

$$f\left(x\right)=\left(x+3\right)^2+4$$  

$$f\left(x\right)=3\left(x-4\right)^2$$  

$$f\left(x\right)=\left(x-4\right)^2+3$$  

$$f\left(x\right)=\left(x+4\right)^2+3$$  

right 3, down 2

up 3, left 2

left 3, up 2

left 3, down 2

Horizontal shift left 6, vertical shift up 2

Horizontal shift left 6, vertical shift down 2

Horizontal shift right 6, vertical shift down 2

Horizontal shift right 6, vertical shift up 2