9y^2-16x^2=81 Find the coordinates of the vertices and foci of the hyperbola equation.

Find the standard form of the equation of the hyperbola with vertices 2,4 and 2,2 and foci 2,5 and 2,3.

Graph the hyperbola 16x^2−32x−4y^2−24y−84=0, noting the center, vertices, cover-tices, and foci.

Find the focus and directrix of the parabola with the equation 6y^2+10x=0. Then choose the correct graph of the parabola.

write in standard form of equation vertex hyperbola with (− 1, 2) center and  focus (− 3 (,−2)3, + 2 5, 2).

Find the standard equation of the given general form of the hyperbola . Please show me the steps  9x^2-16y^2-36x-64y+116=0

Give an equation: (x+2)^2/(36)+ (y-4)^2/(25)=1. Please show me step-by-step solution, how to find those endpoints.

Determine an equation for the parabola whose vertex is (- 2, 3) and goes through the point (4, - 6)

Determine the equation of the parabola with vertex (2,8) and x-intercepts 0 and 4 in factored form OR in vertex form.

Write the standard equation of each parabola. Find the focus and make a graph. (i) passes through (25,20); axis horizontal (ii) passes through (3,2) and (3,-2) *vertex for both is (0,0) Standard equations: y^2 = 4px