What is the the vertex of y = (x-3)(x+5) -x+12y=(x−3)(x+5)−x+12?

1 Answer
A. S. Adikesavan
Mar 3, 2016

(-1/2, -13/4)(−12,−134)

Explanation:

The equation x-alpha)^2x−α)2 = 4 a (y-beta)4a(y−β) represents the parabola with vertex at (alpha, beta)(α,β)
The focus is at (alpha, beta+a)(α,β+a).
Our equation is equivalent to (x+1/2)^2(x+12)2 = 4(1/4)(y+13/4)4(14)(y+134)
Vertex is (-1/2, -13/4)(−12,−134)
Focus is (-1/2, -3)(−12,−3) .

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