The vertex is (-3,-13) and the y intercept is - 4 what is the quadratic function

To solve this problem you must apply the proccedure shown below:

1. You have the following information given in the problem above:

- The vertex of the parabola is (-3,-13) and the y intercept is - 4.

2. You have the the Standard form of the equation of the parabola is:

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

Where the vertex is (h, k)

3. Therefore, you have:

-4=a (0 - (-3)) ^2-13

a=9/9

a=1

4. Finally, you have that the equation is:

y = (x+3) ^2-13