Matching In Exercises 1-6, match the equation with its graph. [The graphs are labeled (a), (b), (c), (d), (e), and (f).]

If the equation
Answer to Problem 1RE
Solution:
The equation
Explanation of Solution
Given:
The options are:
Explanation:
Here,
Now, in order to find whether the ellipse is horizontal or vertical, represent the equation in the standard form of an ellipse.
The given equation is:
Divide the equation by
Rearrange it in standard form as:
So,
Which is the standard equation for an ellipse, whose major axis is vertical. That is the center of ellipse is
Thus, the correct graph matches for the equation that holds the above properties is option (e).
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