find-the-equation-of-the-asymptote-and-indicate-the-loci-after-graphing-the-hype

Question

Find the equation of the asymptote and indicate the loci after graphing the hyperbola x²/25 - y² = 1

Accepted Answer

y = (1/5)x, y = -(1/5)x; Foci: (√26, 0) and (-√26, 0); Vertices: (5, 0) and (-5, 0)

Graph of hyperbola x²/25 - y² = 1 with asymptotes y = (1/5)x and y = -(1/5)x.

Answer

y = 5x, y = -5x; Foci: (√26, 0) and (-√26, 0); Vertices: (5, 0) and (-5, 0)

Graph of hyperbola x²/25 - y² = 1 with asymptotes y = 5x and y = -5x.

Answer

y = 5x, y = -5x; Foci: (√26, 0) and (-√26, 0); Vertices: (1/5, 0) and (-1/5, 0)

Graph of hyperbola x²/25 - y² = 1 with asymptotes y = 5x and y = -5x.

Answer

y = 1/5x, y = -1/5x; Foci: (√26, 0) and (-√26, 0); Vertices: (1/5, 0) and (-1/5, 0)

Graph of hyperbola x²/25 - y² = 1 with asymptotes y = (1/5)x and y = -(1/5)x.

Find the equation of the asymptote and indicate the loci after graphing the hyperbola x2/25 - y2 = 1