SOLUTION: Write an equation for the ellipse centered at the irigin with a vertex of (0,sqrt 29) and a c0-vertex of (-5,0) Please show me how to do this

Algebra ->  Quadratic-relations-and-conic-sections -> SOLUTION: Write an equation for the ellipse centered at the irigin with a vertex of (0,sqrt 29) and a c0-vertex of (-5,0) Please show me how to do this       Log On


   

Question 850551: Write an equation for the ellipse centered at the irigin with a vertex of (0,sqrt 29) and a c0-vertex of (-5,0) Please show me how to do this
Answer by lwsshak3(11628) About Me  (Show Source):
You can put this solution on YOUR website!
Write an equation for the ellipse centered at the origin with a vertex of (0,sqrt 29) and a co-vertex of (-5,0)
Given ellipse has a horizontal major axis with center at the origin.
Its standard form of equation: x%5E2%2Fa%5E2%2By%5E2%2Fb%5E2=1, a>b)
a=√29 (distance from center to vertices on the horizontal major axis)
a^2=29
b=5 (distance from center to co-vertices on the minor axis)
b^2=25
Equation of given ellipse: x%5E2%2F29%2By%5E2%2F25=1
see graph below as a visual check:
y=(25-(25x^2/29))^.5