
To find: The equation in standard form, of the hyperbola shown in graph.

Answer to Problem 4E
The equation of the hyperbola is
Explanation of Solution
Given information:
The givenfigure is shown in figure (1).
Figure (1)
Calculation:
Using the graph shown in figure (1), the graph is of the vertical hyperbola with vertices at point
The distance between vertices will be equal to
Using the equation for the asymptotes of a vertical hyperbola.
Substitute
Using the graph, one asymptote with positive slope passes through point
Using the equation of a vertical hyperbola in standard form.
Substitute the values in above equation.
Therefore, the equation of the hyperbola is
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