What is the equation for the hyperbola shown?

a. x²/8² - y²/5² = 1

b. x²/5² - y²/8² = 1

c. y²/8² - x²/5² = 1

d. y²/5² - x²/8² = 1

D. y²/5² - x²/8² = 1

Step-by-step explanation:

A and B are both incorrectly oriented, and D is the only hyperbola that contains the points (0,5) and (0,-5).

Verification (0,5) and (0,-5) are in the hyperbola:

First replace x and y with corresponding x and y values (We will start with x=0 and y=5)

Then simplify.

If the result is an equation (where both sides are equal to each other) then the original x and y values inputted are valid. The same is true with x and y inputs x=0 and y=-5, or any other point along   the hyperbola.

step-by-step explanation:

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step-by-step explanation: