9514 1404 393
Answer:
A. parabola
Step-by-step explanation:
The curves ellipse, circle, and hyperbola are formed by a relation between the squares of the variables. Here, the y-variable is squared, but the x-variable is not. This equation describes a parabola.
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Additional comments
Its vertex is at (4, 4) and it is compressed horizontally by a factor of 9.
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The hyperbola equation is the difference of squares; the circle and ellipse equations involve the sum of squares. If the variable coefficients are the same, then the sum of squares equation will describe a circle; an ellipse otherwise.
