SOLUTION: Given the function g(x)=-3x^2+12x+5. The function has ________ (enter maximum or minimum) value at point _________ (write point as (3,5) with no space).

Algebra ->  Quadratic Equations and Parabolas  -> Quadratic Equations Lessons  -> Quadratic Equation Lesson -> SOLUTION: Given the function g(x)=-3x^2+12x+5. The function has ________ (enter maximum or minimum) value at point _________ (write point as (3,5) with no space).      Log On


   

Question 1196417: Given the function g(x)=-3x^2+12x+5. The function has ________ (enter maximum or minimum) value at point _________ (write point as (3,5) with no space).
Answer by josgarithmetic(39617) About Me  (Show Source):
You can put this solution on YOUR website!
-3%28x%5E2-4x%29%2B5, factorization to prepare Complete the Square
-3%28x%5E2-4x%2B4-4%29%2B5
-3%28%28x-2%29%5E2-4%29%2B5
-3%28x-2%29%5E2%2B12%2B5
highlight_green%28-3%28x-2%29%5E2%2B17%29

Vertex is point (2, 17).
This is a maximum point, since you know by main coefficient being a negative value.