Write an equation for the hyperbola shown in the graph The e

Write an equation for the hyperbola shown in the graph. The equation for the hyperbola above is = 1. (Simplify your answer. Use integers or fractions for any numbers in the expression.)

Solution

Solution:

we can see it is a vertical hyperbola, equation of asymptote of vertical hyperbola is given by :

y= +-a/b(x-h) + k

Comparing it with given asymptote equation y = +-2x, we get a=2 and b=1.

Equation of hyperbola : y^2/a^2 - x^2/b^2 = 1

y^2/2^2 - x^2/1^2 = 1

y^2/4 -x^2/1 = 1 Answer.