Use vertices and asymptotes to graph the hyperbola. Find the equations of the asymptotes. y = ± square root of x^2 - 5 A. Asymptotes: y = ± x B. Asymptotes: y = ± 5/3 x C. Asymp…

Question

asked Mar 21, 2017 58.7k views

1 Answer

VcRobe · Answer 1 · 2017-03-27T11:49:59+0000

Answer:

3rd graph is the correct graph

Explanation:

Given is the equation of hyperbola as

y = ± √(x^2-5)

Square both sides and rearrange to get

$y^2=x^2-5 \\x^2-y^2 =5$

Vertices are
$(√(5) ,0) \\(-√(5) ,0)$

Asymptotes would have the same equation as hyperbola except constant term as 0

x^2-y^2 =0

are the asymptotes

Or
y = ± x option d is right.