Problem 49E

From graphs to equations Write an equation of the following hyperbolas.

Solution 49E

Step 1:

In this problem we have to find the equation of hyperbola from the figure.

Given figure:

From the figure it is clear that the transverse axis is x-axis and the center is (0,0)

We know that The standard form of the equation of a hyperbola with center (0,0) and transverse axis on the x-axis is

Where

- the coordinates of the vertices are (±a,0)
- the coordinates of the foci are (±c,0) where