please show work! The figure below shows a plot of f(x)=-(x-4)^2+5. Use parabolic interpolation to f

please show work!

The figure below shows a plot of f(x)=-(x-4)^2+5. Use parabolic interpolation to find the maximum by beginning with points x0=0, x1=6, and x2=10. How many iterations are needed and why?

Show transcribed image text The figure below shows a plot of f(x)=-(x-4)^2+5. Use parabolic interpolation to find the maximum by beginning with points x0=0, x1=6, and x2=10. How many iterations are needed and why?