Answer:
X= 144/7
Step-by-step explanation:
Its equal to roughly 2.45
So, with rational equations, we have three different cases. If the numerator has degree m and the denominator degree n, if m>n, the rational equation has an oblique(slant) asymptote. If m=n, the asymptote is the quotient of the leading coefficient of the numerator divided by the leading coefficient of the denominator. If m<n, the rational equation has an asymptote at 0. Since m>n in this problem, we must perform polynomial division.

Since the remainder tends to 0 as it approaches infinity, we have a slant asymptote at y=3x.
Y = -2x² + 8x - 18
x = -b/2a
x = -8/2(-2)
x = -8/-4
x = 2
y = -2x² + 8x - 18
y = -2(2)² + 8(2) - 18
y = -2(4) + 16 - 18
y = -8 - 2
y = -10
(x, y) = (2, -10)
Vertex: (2, -10)
Axis of Symmetry: x = 2