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