Problema Solution
Given the following quadratic equation, determine if it has a maximum or a minimum value. Then find the maximum or minimum value. Please show all of your work. f (x)=2x^2+3x-9=
Answer provided by our tutors
As the coeffcient of x^2 term is positive it has minimum value.
Minimum value is given by f(-b/2a).
-b/2a=-3/2*2=-3/4.
f(-3/4)=2*(-3/4)^2+3*-3/4-9.
(9/8)-(9/4)-9.
(9-18-72)/8.
=-81/8.