heyy here is a question i have, i was wondering if anyone could help me:

The function f is defined by f:x --> -0.5x^2 + 2x + 2.5

a. Let N be the normal to the curve at the point wehre the graph intercpets the y-axis. Show that the equation of N may be written as y = -0.5x + 2.5

Let g:x --> -0.5x + 2.5

b. Find the solutions of f(x) = g(x)

c. Hence find the coordinates of the other point of intersection of the normal and the curve.

Thanks!