# Math Help - Hi i need help with a two part function and symmetry problem

1. ## Hi i need help with a two part function and symmetry problem

Hi, i have a two part symmetry and function related question:
A. Find the point of symmetry of the graph of the cubic function:
f(x)=-x^3+15x^2-48x+45

B. The function has a local minimum at (2,1). At what point does a local maximum occur?

2. Originally Posted by mathstudent123
Hi, i have a two part symmetry and function related question:
A. Find the point of symmetry of the graph of the cubic function:
f(x)=-x^3+15x^2-48x+45

B. The function has a local minimum at (2,1). At what point does a local maximum occur?
$\dfrac{2+a}2 = 5~\wedge~\dfrac{1+b}2=55$