SOLUTION: Use the information provided to write the standard form equation [(x^2/b^2)+ (y^2/a^2)=1] of the ellipse: vertices: (7,-4), (-13,-4) co-vertices: (-3,4), (-3,-12)

Question 753072: Use the information provided to write the standard form equation [(x^2/b^2)+ (y^2/a^2)=1] of the ellipse:
vertices: (7,-4), (-13,-4)
co-vertices: (-3,4), (-3,-12)

Answer by josgarithmetic(39620) (Show Source): You can put this solution on YOUR website!
vertices: (7,-4), (-13,-4)
The middle point is at ((7-13)/2, -4)=(-3,-4)

co-vertices: (-3,4), (-3,-12)
The middle point is at (-3, (4-12)/2)=(-3,-4)

The model standard form you stated is incomplete and should be instead,
and know that the center is (h,k).

You main vertex point show a length for 2a=20, so a=10.
Your "covertex" points show a length of 2b=16, so b=8.

Put in the pieces but watch the signs for center...

RELATED QUESTIONS
Graph the equation. Identify the vertices, co vertices, and foci of the ellipse.... (answered by lwsshak3)

use the information provided to write the standard form equation of each hyperbola... (answered by stanbon)

Classify the conic section and write its equation in standard form. 1) 4x^2 + y^2 -... (answered by lynnlo)

Use the information provided to write the standard form equation of each hyperbola.... (answered by lwsshak3)

Given the equation 25x^2+y^2-100x+8y+91=0 a. Write the equation in the standard form b. (answered by ikleyn)

Write the standard form of the equation of the conic section with the given... (answered by ewatrrr)

Write the standard equation of each ellipse. Find the coordinates of the center,... (answered by stanbon)

May I please receive assistance on these problems. Write an equation for each ellipse... (answered by ewatrrr)

Choose the equation that best represents an ellipse for the given foci and co-vertices. (answered by Edwin McCravy)