A10.4 - LA1 - Match Quadratic to Graph

A10.4 - LA1 - Match Quadratic to Graph

Things to look for

• +a opens up or -a opens down

• y-intercept

• vertex (if in vertex form)

• zeros, solutions

A parabola opening up or down has vertex (0,0) and passes through (–

12,12). Write its equation in vertex form.

Open Ended

A parabola opening up or down has vertex (0,–

6) and passes through (6,–

3). Write its equation in vertex form.

A parabola opening up or down has vertex (0,–

6) and passes through (6,–

3). Write its equation in vertex form.

•  $y=a\left(x-0\right)^2-6=x^2-6$  

•  $-3=a\left(6\right)^2-6$  

•  $-3=36a-6$  

•  $\frac{3}{36}=\frac{1}{12}=a$  

•  $y=\frac{1}{12}x^2-6$  

A parabola opening up or down has vertex (–

6,1) and passes through (–7,3/4). . Write its equation in vertex form.

Open Ended

A parabola opening up or down has vertex (–6,1) and passes through (–7,3/4). . Write its equation in vertex form.

A parabola opening up or down has vertex (–6,1) and passes through (–7,3/4). . Write its equation in vertex form.

•  $y=a\left(x+6\right)^2+1$  

•  $\frac{3}{4}=a\left(-7+6\right)^2+1$  

•  $-\frac{1}{4}=a$  

•  $y=-\frac{1}{4}\left(x+6\right)^2+1$