Write an equation in standard form of the parabola that has the same shape as the graph of f (x) = 5x^2or g (x) = - 5x^2, but with a given maximum of minimum

Maximum=2 at x=-4

F (x) = 5x^2 Has minimum (0,0)

g (x) = f (x) + 2 Shifts the graph two units up, then the minimum is 2+0=2.

h (x) = g (x+4) Shifts the graph four units left, then the minimum is at 0-4 = - 4.

Then h (x) = 5 (x+4) ^2 + 2 has the minimum (-4,2)

And p (x) = - 5 (x+4) ^2 + 2 has the maximum (-4,2)