I have differential calculus problem where I must find the coordinates of a point C on a parabola. There is a point given which is D(8,4) and D is on a line that is intersecting with the parabola at C. Also, the line where there is the point D is perpendicular to the tangent of C.
This is the equation of the parabola:
f(x) = -x^2 + 4x + 2
This is coordinates of the single point given:
What are the coordinates of C?
I am having trouble with the fact that there is only point given for the intersecting line.
Thank you for helping out!