Question

What is the equation of the parabola that has a vertex at `(7, 9)` and passes through point `(3, -2)`?

Answer 1

It is easiest to use the form y = a`(x - p)^2` + q

Explanation:

In vertex form, the form mentioned above, The vertex is represented by (p, q) and the of your choice is represented by X and Y respectively. In other words you are solving for a in the formula.

-2 = a`(3 - 7)^2` + 9
-2 = 16a + 9
-2 -9 = 16a
`-11/16` = a

So, the equation would be y = `-11/16` `(x - 7)^2` +9