How do you find the center and vertices of the ellipse #x^2/25+y^2/16=1#?
1 Answer
Center:
Vertices:
Explanation:
The standard form of the equation for an ellipse is given by:
with the point
From inspection of the original equation, we can see that
Further, we can calculate
From this we know that we can go 5 units to the left and 5 units to the right from the center
Thus, the vertices are located at:
A graph shows the ellipse:
graph{x^2/25+y^2/16=1 [-10, 10, -6, 6]}