Find an equation in standard form for the hyperbola with vertices at (0, ±10) and asymptotes at y = ± five divided by six times x.. (2 points)

Refer to the diagram shown below.

In the diagram, the two vertices are located at (0, a) and (0, -a).
The equation for the parabola is

The asymptotes have the equations


For the given problem,
The vertices are located at (0, +/-10).
Therefore a = 10.

The asymptotes are

Therefore


The equation of the parabola is