Which equation matches the graph shown below?

For this case, what we are going to do is verify in which points the function is equal to zero.
 We have the points are:
 x = (-b +/- root (b ^ 2 -4 * a * c)) / (2 * a)
 We substitute the values in the equations shown and verify that the equality is met.
 For y = 2x2 + 8x - 5
 x1 = -2-root (13/2)
 x2 = root (13/2) - 2
 These roots coincide with the cut points of the graph on the x axis.
 
 The equation is:
 y = 2x2 + 8x - 5
 option 4