If x is real, find the maximum value of the expression -2x^2 + 5x + 7.  Choose the correct choice from the following options.
A) 6.125
B) 8.125
C) 10.125
D) 12.125
E) 14.125

Rationale: this is an equation of a downward facing parabola . the maximum value is the top point of the parabola . - 2 x ^ 2 + 5 x + 7 = ( - 2 x + 7 ) ( x + 1 ) the roots are 7 / 2 and - 1 . the maximum value must be when x is halfway between these two points . x = 1.25 the maximum value is - 2 ( 1.25 ) ^ 2 + 5 ( 1.25 ) + 7 = 10.125 the answer is c .
Answer: C