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Chapter 11: Q. 161E (page 1134)

In the following exercises, graph.

y-429-x-2225=1

Short Answer

Expert verified

The graph is as below

Step by step solution

01

Step 1. Given information

The equation is y-429-x-2225=1

Draw the graph.

02

Step 2. Calculation

The y2 term is positive, the transverse axis is vertical.

The hyperbola opens up and down.

Find the centre

Compare the equation with standard form y-k2a2-x-h2b2=1

So, Centre h,k=2,4

a2=9鈬�a=卤3and b2=25鈬�b=卤5

Sketch the rectangle that goes through the points 3 units above/below the centre

5 units left/right of centre

03

Step 3. Draw the graph

Sketch the graph using asymptotes.

Draw the graph is

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