Question

use a method of completing the square in order to rewrite the function f(x)=x^2+5x-2 in vertex form, f(x)=a(x-h)^2+k where (h,k) is the vertex of the parabola.

Answer 1

      f(x) = x² + 5x - 2
f(x) + 2 = x² + 5x - 2 + 2
f(x) + 2 = x² + 5x
f(x) + 2 = x(x) + x(5)
f(x) + 2 = x(x + 5)
      f(x) = x(x + 5) - 2
   (h, k) = (-5, 2)