Need help. I can not figure out how to factor this expression to find the vertex. Also if you could show me how you find the answer that would be awesome. @Nurali

Question

anonymous · Answer

f(x) = -16x2 + 8x + 3

ranga · Answer

f(x) = -16x2 + 8x + 3 = -16(x^2 - x/2 -3/16) = -16{ (x-1/4)^2 - 1/16 - 3/16 }
simplify.

anonymous · Answer

is that divided by? sorry math not my strong suit.

ranga · Answer

f(x) = -16x^2 + 8x + 3 
Factor -16 out.
f(x) = -16(x^2 - x/2 -3/16)
complete the square:
f(x) = -16{ (x-1/4)^2 - (1/4)^2 - 3/16 }
     = -16{ (x-1/4)^2 - 1/16 - 3/16 }
     = -16{ x-1/4)^2 - 4/16}
     = -16{ x-1/4)^2 - 1/4}
f(x) = -16(x - 1/4)^2 + 4

Vertex at (1/4, 4)

anonymous · Answer

Okay. Thank you.