Find an equation for the hyperbola that has vertices  (±3,0) and asymptotes  y=±5x.

Graph the hyperbola given by 9x² -y² - 72x – 4y+ 131 = 0.

Obtain the X-value of vertex for the parabola defined by y = x2 +8x - 5

Write the equation of the hyperbola centered at the origin, with length of the horizontal transverse axis 6 and the curve passes through the point (7, -4).