The formula for findintg the x-coordinate of the point of symmetry of a cubic function is -b/3a. Use this formula to find the point of symmetry (x and y axes) of the following function:

ax^3+bx^2+d

Also find the two turning points on this function.

Show that the point of symmetry is the midpoint of the line segment connecting the local maximum and local minimum.

PLEASE SHOW ALL STEPS