# What is the equation of the parabola that has a vertex at  (0, 0)  and passes through point  (-1,-64) ?

Apr 20, 2018

$f \left(x\right) = - 64 {x}^{2}$

#### Explanation:

If the vertex is at (0|0),
$f \left(x\right) = a {x}^{2}$
Now, we just sub in the point $\left(- 1 , - 64\right)$

$- 64 = a \cdot {\left(- 1\right)}^{2} = a$
$a = - 64$
$f \left(x\right) = - 64 {x}^{2}$