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Chapter 11: Q. 157E (page 1134)

In the following exercises, graph

4x2鈭�16y2=64

Short Answer

Expert verified

The graph is as follows

Step by step solution

01

Step 1. Given information

The equation is 4x2-16y2=64

Draw the graph

02

Step 2. Calculation

Divide the equation by 64 and simplify

4x264鈭�16y264=6464x216鈭�y24=1

The x2 term is positive, the transverse axis is horizontal.

Here, a2=16鈬�a=卤4

So, the vertices on x- axis are 4,0,-4,0

Now, b2=4鈬�b卤2

The vertices on y- axis are 0,2,0,-2

So asymptote have the equations,

y=24x=12xand y=-24x=-12x

03

Step 3. Draw  the graph

Draw the graph using asymptotes.

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