   Chapter 10, Problem 2RE

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).] 4 x 2 − y 2 = 4

To determine
If the equation 4x2y2=4 matches with its graph when the options are: Explanation

Given:

Explanation:

Consider the given equation: 4x2y2=4

Here, x and y both are squared and one of them has a negative coefficient. Thus, this equation represents a hyperbola.

In order to find whether this hyperbola has a vertical or horizontal axis, represent the given equation in the standard form.

Divide both the sides by 4:

x214y2=1

Rearrange in standard form as:

(x0)212(y0)222</

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