5-8 Graphs of Ellipses Match the equation with the graphs labeled I-IV. Give reasons for your answers.
The matched graph for ellipse .
The equation of an ellipse is .
The basic equation for an ellipse with a horizontal major axis which is used is as follows,
Here, and are constant values.
Expression to find vertices is,
Expression to find Foci is,
Plot the graph for the given ellipse and compare it with the given graph. As if the plotted graph and given graph have similarity then that graph is the perfect match for the given equation of the ellipse.
Consider the given equation of the ellipse,
Compare the above equation with the basic equation for an ellipse and find the vertices as follows,
Find the vertices,
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