What is the extreme value of a quadratic function? Calculus Graphing with the First Derivative Classifying Critical Points and Extreme Values for a Function 1 Answer Wataru Sep 28, 2014 A quadratic function #f(x)=ax^2+bx+c# has an extreme value at its vertex, so if #a>0#, then #f(-b/a)# is the maximum, and if #a<0#, then #f(-b/a)# is the minimum. Answer link Related questions How do you find and classify the critical points of #f(x)=x^3#? How do you find the critical points of a rational function? How do you know how many critical points a function has? How many critical points can a cubic function have? How many critical points can a function have? How many critical points can a quadratic polynomial function have? What is the first step to finding the critical points of a function? How do you find the absolute extreme values of a function on an interval? How do you find the extreme values of the function and where they occur? How do you calculate #f '(x)# and use calculus to find the maximum value of #sin (ln x)# on the... See all questions in Classifying Critical Points and Extreme Values for a Function Impact of this question 16693 views around the world You can reuse this answer Creative Commons License