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Chapter 11: Q.11.57TI (page 1129)

Graph(x-3)225-(y-1)29=1

Short Answer

Expert verified

The graph of the equation(x-3)225-(y-1)29=1is given below

Step by step solution

01

Step 1. Given information

Here given equation of the hyperbola is (x-3)225-(y-1)29=1.

We have to plot the graph of the given equation.

02

Step 2. Description of the sketching the graph

Here equation in standard form (x-3)225-(y-1)29=1.

Since the term, x2 is positive the transverse axis of the hyperbola is horizontal. Here center (h, k) is ( 3, 1 ) and a2=25soa=卤5similarlyb2=9thenb=卤3.

Sketch the rectangle centered at (3, 1) using a and b. Plot the asymptotes and mark the vertices, then draw the hyperbola using each vertex and asymptotes

03

Step 3. Graph of hyperbola 

The graph of the given equation is here

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