# Ellipses and Hyperbolas

#1. find the center,foci and vertices of ellipse.

(x+4)^2/49 + (Y+4)^2/25 =1

#2. Find the center, transverse,axis,vertices,foci and asymptotes.

Graph the equation y^2-x^2=100

#3. find the equation of hyperbola.

Vertices (-1,5) and (9,-5) Asymptote the line y+5=6/5 (x-4)

write the equation of hyperbola and show the graph.

I need the step by step solution of each question and the graph also. Thanks.

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#### Solution Preview

Please see the attached files.

#1. Find the center, foci and vertices of ellipse.

(x + 4)2/49 + (y + 4)2/25 =1

This ellipse can be compared to the standard form: ,

Wherein the centre is (h, k) = (-4, -4),

Semi-major axis a = 7, semi-minor axis b = 5

The vertices are: (-4 + 7, -4), (-4 - 7, -4), (-4, -4 + 5), ...

#### Solution Summary

This shows how to graph equations and find information about hyperbolas and ellipses.