SOLUTION: Find the vertex of the graph, simplify and type as an ordered pair. f(x)=-16x^2+8x+3

Algebra ->  Graphs -> SOLUTION: Find the vertex of the graph, simplify and type as an ordered pair. f(x)=-16x^2+8x+3      Log On


   



Question 371436: Find the vertex of the graph, simplify and type as an ordered pair.
f(x)=-16x^2+8x+3

Answer by ewatrrr(24785) About Me  (Show Source):
You can put this solution on YOUR website!

Hi,
Find the vertex of the graph
f(x)=-16x^2+8x+3
Note: the vertex form of a parabola, y=a%28x-h%29%5E2+%2Bk where(h,k) is the vertex
f(x)=-16x^2+8x+3
f(x)=-16[x^2-x/2 - 3/16]
f(x)=-16[(x -1/4)^2 - 1/16 - 3/16]
f(x)=-16[(x -1/4)^2 - 4/16]
f(x)=-16(x -1/4)^2 + 4
vertex is (1/4,4)