Answer:
D. y²/5² - x²/8² = 1
Step-by-step explanation:
From the graph of the hyperbola, we can see that points (0,5) and (0,-5) form part of the hyperbola.
This means that the equation of the hyperbola should be satisfied by these points.
Substituting x=0 and y=5 in the given options:
A. LHS = -1 while RHS = 1
B. LHS =
while RHS = 1
C. LHS =
while RHS = 1
D. LHS = 1 and RHS = 1
So only option D contains the point (0,5).
Now verifying option D for the point (0,-5):
LHS = 1 and RHS = 1
So equation D is the correct equation for the hyperbola.