Graph the hyperbola, find the verticies, foci, and eccentricity for the equation: 4(x-2)^2-9(y+5)^2=1

Use the information provided to write the standard form equation of each hyperbola.

Convert the equation 16x2 - y2 + 64x - 2y + 67 = 0 to standard form by completing the square on x and y. Then graph the hyperbola. Locate the foci and find the equations of the asymptotes.

Determine whether the equation 25x2 – 16y2 = 400 represents a hyperbola. If so, write it in standard form.

determine the coordinates of the y intercept of the parabola.

Use the hyperbola equation (x-x1)2a2-(y-y1)2b2=1 to find the y-values to the nearest integer from the given x and y-values in the table.

Use the information to write the equation of the hyperbola

Find an equation for the hyperbola with vertices (0, ±2), foci (0, ±5).

Write the standard form equation of a hyperbola that has vertices (0,±2) and foci (0,±√13).

Write the following equation of the parabola in standard form: y²-6y - 6x3 = 0 Then identify the vertex, the focus, and the directrix. There is no need to graph.