f(x) = (x+6)(x-4)
Applying distributive property:
f(x) = x*x - x*4 + 6*x - 6*4
f(x) = x² + 2x - 24
The x-coordinate of the vertex is:
h = -b/(2a) = -2/(2*1) = -1
The y-coordinate of the vertex is:
k = f(h) = (-1)² + 2(-1) - 24 = 1 - 2 - 24 = -25
f(x) in vertex form is:
f(x) = a(x - h)² + k
f(x) = (x +1)² - 25
In this form, the minimum value of f (its vertex) appears as a constant or coefficient.
