First thing to notice is that we're dealing with a parabola, so we know it has a vertex, vertical axis of symmetry, etc.
Always factor if possible.
Start by finding the roots. If 0 = (x-1)(x+5), then x = 1 or -5.
Now hit up the y-intercept. If x = 0, .
The vertex is going to be right between the roots, so average them: . The axis of symmetry is x -2.
So the vertex is at x = -2, and y = . (-2, -9).
To find another point on the graph, you just choose a random x. How about 3. .... (3, 16)
