Find an equation for the hyperbola that satisfies the given conditions.

Question

Vertices: (±1, 0), asymptotes: y = ±3x

Answer 1

First, make a sketch, using the given facts.

Second, determine which is the transverse axis.

Sketch the asymptotes using ----- lines.

Remember that b² = c² - a² and that values a & c are marked off from the center, along the transverse axis.

If the transverse axis is the x-axis, equation when center is Origin is x²/a² -y²/b² = 1;

if the transverse axis is the y-axis, equation when center is Origin is y²/a² - x²/b² = 1.

These FACTS should stand you in good stead for several of the hyperbola questions that you have submitted.