Given the function:

- Factor to find the x-intercept:
Factor and equal to zero for Vertexeach factor.

So:

a) The vertex of a parabola is:

The parameters of the parabola are:
a = 1, b = -4 and c = -5

We find y:

Therefore the vertex of the parabola is: (2, -9)
b) x-intercepts are: (5,0) and (-1,0)
c) Vertex: (2, -9)
d) Graph:
- Table:
x y
-1 0
0 -5
1 -8
2 -9
3 -8
4 -5
5 0
6 7