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91Ó°ÊÓ

In Problems 37–40, write an equation for each hyperbola.

Short Answer

Expert verified

Equation of hyperbola is:y236-x29=1

Step by step solution

01

Step 1. Given information

Graph of the hyperbola:

02

Step 2. Finding the equation of hyperbola

Comparing information from the graph with standard form of hyperbola,

Vertices=(0,±6)=(0,±a)Asymptotes=±2x=±abx⇒a=6,b=3

Equation of hyperbola is:

y262-x232=1⇒y236-x29=1

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