SOLUTION: Graph the Function. y = (x + 3)(x - 4)

Algebra ->  Polynomials-and-rational-expressions -> SOLUTION: Graph the Function. y = (x + 3)(x - 4)      Log On


   

Question 400040: Graph the Function.
y = (x + 3)(x - 4)
Answer by ewatrrr(24785) About Me  (Show Source):
You can put this solution on YOUR website!


Hi

Using the vertex form of a parabola, y=a%28x-h%29%5E2+%2Bk where(h,k) is the vertex

 y = (x + 3)(x - 4)

 y = x^2 -x - 12  |expanding

 y = (x- 1/2)^2 - 1/4 - 12  |completing the square

 y = (x- 1/2)^2 - 49/4   Vertex is Pt(1/2,-49/4), line of symmetry x = 1/2