1. Determine the vertex of the parabola:

Question

y= 7x^2+14x+6

2. For the following 2 functions,identify the horizontal and vertical asymptotes.

a)f(x)= 3x(x-2)/x(x-1)
b)g(x)= x/(x+7)^2

Answer 1

1. y = 7x^2 + 14x + 6.

V(h , k),

h = Xv = -b / 2a = -14 / 14 = -1.

Substitute Xv (h) in the given Eq to
get Yv(k):
k = Yv = 7(-1)^2 + 14(-1) + 6,
= 7 - 14 + 6 = -1.

V(h , k) = V(-1 , -1).