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Answer:
D y²/5 -x²/4 = 1
Step-by-step explanation:
The y-intercept is about 2.2, or √5. This point (0, √5) only satisfies the equation of the last choice:
y²/5 -x²/4 = 1
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Additional comment
The second attachment tells you the foci are located at (0, ±(a²+b²)), where a² and b² are the denominators in the above equation. That is the foci are ...
(0, ±√(4+5)) = (0, ±3) . . . . as shown in the graph
This confirms the equation denominators are rightly 5 and 4, with 5 being the denominator of y².
The second attachment has the equation for a hyperbola that opens along the x-axis. Interchange the variables x and y to get the hyperbola shown in this problem statement.
