   Chapter 10, Problem 5RE

Chapter
Section
Textbook Problem

# Matching In Exercises 1-6, match the equation with its graph. [The graphs are labeled (a), (b), (c), (d), (e), and (f).] x 2   +   4 y 2   =   4

To determine

If the equation x2+4y2=4 matches with its graph when the options are: Explanation

Given:

The options are:

Here, x and y both are squared terms and both of their coefficients are positive. Thus, this equation represents an ellipse.

Now, in order to find whether the ellipse is horizontal or vertical, represent the given equation in the standard form of an ellipse.

The given equation is:

x2+4y2=4

Divide both the sides by 4:

14x2+y2=1

Rewrite in standard form as:

x222+y212=1

This is of the form:

(xh)

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