Quadratic Transformations STAAR

stretch

compress

Vertical Stretch by a factor of 2 and vertical shift up 4 units

 Vertical Shrink/Compress by a factor 2 and vertical shift up 4

Vertical Stretch by a factor of 2 and horizontal shift left 4 units

Vertical Shrink/Compress by a factor of 2 and horizontal shift right 4 units

Vertical Compression

Vertical Stretch

Horizontal Shift RIGHT

Horizontal Shift LEFT

Reflection over the X-Axis

Vertical Shift DOWN

Vertical Shift UP

$$e\left(x\right)=x^2\ +\ 3$$  

$$e\left(x\right)=f\left(x\right)\ +\ 3$$  

$$e\left(x\right)=x^2\ -\ 3$$  

$$e\left(x\right)=f\left(x\right)\ -\ 3$$  

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

$$e\left(x\right)=f\left(x\ -\ 3\right)$$  

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

$$e\left(x\right)=f\left(x\ +\ 3\right)$$  

$$e\left(x\right)=3f\left(x\right)$$  

$$e\left(x\right)=3x^2$$