Question

If vertex of this parabola is (-5,4) what’s the equation

Answer 1

For this case, we have by definition, that the standard equation of a parabola is:

`y = ax ^ 2 + bx + c`

This equation can also be written in the "vertex form":

`y = a (x-h) ^ 2 + k`

Where:

The vertex of the parabola is the point (h, k)

In this case we have:

`(h, k) = (-5,4)`

So:

`y = a (x - (- 5)) ^ 2 + 4`

If a <0 opens down

If a> 0 opens up

Answer:

`y = a (x + 5) ^ 2 + 4`