y=x2+6

2 answers

y/x+8
y=8x
Y=X^2 + 6. This the Eq of a Y-parabola
that opens upward.

h = Xv = -b/2a = 0/2 = 0.

k = Yv = 0^2 + 6 = 6.

V(h, k) = V(0, 6).

X = (-b +- sqrt(b^2 - 4ac)) / 2a,
X = (0 +- sqrt(0 - 24) / 2,
X = +- sqrt(4*6*-1),
X = +-2i*sqrt(6) = 2 imaginary solutions.

There are no real solutions, because
the graph does not cross or touch the
X-axis.