Not sure if I am quite getting this correct?

y = 2x - 3

y = -x^2 + 4x +5

I am trying to solve the above and compare the results to a graph I plotted with a straight line and a parabola. I am looking at where the graph intersects and at the moment there seems to be slight differneces between my values from the graph and the above.

2x - 3

-x^2 + 4x +5

2x-2= x - 1

2 2

2(-1) - 3 = -2 -3 = -5

4(-1) + 5 = -4 + 5 = 1

(x + 1) (x - 5)

x = - 1 or x = + 5

These x values conside with previous work I have done and don't seem wrong, please advise.

By comparison to the graph(s), the straight line graph has points (0, 1.5) and the parabola has points (0, 5).

so somewhere I sem to be not quite right?