Alg2 3.2 Tranformations of Quadratics

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

$$f\left(x\right)=\frac{1}{2}x^2+3$$  

$$f\left(x\right)=-\left(x+3\right)^2-1$$  

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

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

$$f\left(x\right)=\frac{1}{2}x^2+3$$  

$$f\left(x\right)=-\left(x+3\right)^2-1$$  

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

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

$$f\left(x\right)=\frac{1}{2}x^2+3$$  

$$f\left(x\right)=-\left(x+3\right)^2-1$$  

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

reflect,

vert stretch f.o. 2,

translate up 3

reflect,

vert compress f.o.2

translate left 3

vert stretch f.o. 2

translate left 3

reflect,

vert stretch f.o. 2

translate left 3

Translate left 2,

up 1

Translate right 2,

up 1

Translate right 2,

down 1

Translate left 2,

down 1

Vert stretch f.o. 6

Translate down 5

Vert compress fo 6

Translate down 5

Vert stretch f.o. 6

Translate left 5

Reflect

Vert compress fo 6

Translate left 5

Reflect

Vert stretch f.o. 0.7

Translate right 2,

up 3

Vert compress 0.7

Translate right 2,

up 3

Reflect

Vert compress 0.7

Translate left 2,

up 3

Reflect

Vert compress 0.7

Translate right 2,

up 3

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

  $$f(x)=(x+3)^2+4$$  

$$f(x)=-(x−3)^2+4$$  

$$f(x)=-(x+3)^2+4$$  

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

  $$f(x)=(x-2)^2$$  

$$f(x)=x^2+2$$  

$$f(x)=x^2-2$$  

$$f\left(x\right)=-\left(x+1\right)^2$$  

  $$f(x)=(x+1)^2$$  

$$f(x)=-x^2+1$$  

$$f(x)=x^2+1$$