Hi!

I'm having trouble with the following exercise and would like some help.

I need to find the intersection point of a curve and a normal to the curve knowining only the curve equation and a coordinate the normal passes by (which is not the intersection between the curve and the normal)

The curve equation is $\displaystyle y=-x^2+4x+2$ and the normal passes by the point $\displaystyle (8; 4)$

Thanks!