Write the equation of the parabola with a vertex at (-3,-10) and y-intercept of (0,-1)

y = (x + 3) ^2 - 10.

Step-by-step explanation:

Vertex form is

y = a (x - b) ^2 + c

Here b = - 3 and c = - 10 so we have

y = a (x + 3) ^2 - 10 where a is some constant.

The y intercept is (0, - 1) so substituting:

-1 = a * 3^2 - 10

-1 + 10 = 9a

9a = 9

a = 1

So the required parabola is (x + 3) ^2 - 10.