Set up and solve a system of equations to derive the coefficients of a quadratic polynomial. The polynomial is y=ax2+bx+

[answerhappygod]

Set up and solve a system of equations to derive the
coefficients of a quadratic polynomial. The polynomial is
y=ax2+bx+c. It must pass through the points (1,4) and (4,1) and
should have its minimum (zero slope) at x=5. The slope (s) of the
quadratic is s=(2a)x+b. Construct and PLOT the
polynomial over the interval 0 ≤ x ≤ 10.

Write a complete MATLAB script file that plots the curve. Add a
title for the plot, and add labels for the horizontal and vertical
axes. Make sure you provide enough points in your x vector to make
a smooth curve. Include sufficient and appropriate comments.

Show plot please.