judy wants to fence the sides of the yard in front of her house . She bought 60m of fence and wants the max area she can fence in . The quad function a(x)=-2x^2+60x, where x is the width of the yard in metres , represent area enclosed . Determine the max area possible , explain or show how you arrived at your answer .

Answer 1

as with any parabola ax^2+bx+c, the vertex is at x = -b/2a

so, here the maximum is achieved at x = 15.