Chapter 11: Q.11.57TI (page 1129)

Graph $\frac{{(x - 3)}^{2}}{25} - \frac{{(y - 1)}^{2}}{9} = 1$

Short Answer

Expert verified

The graph of the equation $\frac{{(x - 3)}^{2}}{25} - \frac{{(y - 1)}^{2}}{9} = 1$ is given below

Step by step solution

Step 1. Given information

Here given equation of the hyperbola is $\frac{{(x - 3)}^{2}}{25} - \frac{{(y - 1)}^{2}}{9} = 1 .$

We have to plot the graph of the given equation.

Step 2. Description of the sketching the graph

Here equation in standard form $\frac{{(x - 3)}^{2}}{25} - \frac{{(y - 1)}^{2}}{9} = 1$ .

Since the term, x² is positive the transverse axis of the hyperbola is horizontal. Here center (h, k) is ( 3, 1 ) and $a^{2} = 25 s o a = \pm 5 s i m i l a r l y b^{2} = 9 t h e n b = \pm 3 .$

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

Step 3. Graph of hyperbola

The graph of the given equation is here

Unlock Step-by-Step Solutions & Ace Your Exams!

Full Textbook Solutions
Get detailed explanations and key concepts
Unlimited Al creation
Al flashcards, explanations, exams and more...
Ads-free access
To over 500 millions flashcards
Money-back guarantee
We refund you if you fail your exam.

Start your free trial

Over 30 million students worldwide already upgrade their learning with Vaia!

Recommended explanations on Math Textbooks

View all explanations

What do you think about this solution?

We value your feedback to improve our textbook solutions.

Graph $\frac{{(x - 3)}^{2}}{25} - \frac{{(y - 1)}^{2}}{9} = 1$

Short Answer

Step by step solution

Step 1. Given information

Step 2. Description of the sketching the graph

Step 3. Graph of hyperbola

One App. One Place for Learning.

Most popular questions from this chapter

Recommended explanations on Math Textbooks

Geometry

Decision Maths

Calculus

Pure Maths

Theoretical and Mathematical Physics

Mechanics Maths

Study anywhere. Anytime. Across all devices.

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

Short Answer

Step by step solution

Step 1. Given information

Step 2. Description of the sketching the graph

Step 3. Graph of hyperbola

One App. One Place for Learning.

Most popular questions from this chapter

Recommended explanations on Math Textbooks

Geometry

Decision Maths

Calculus

Pure Maths

Theoretical and Mathematical Physics

Mechanics Maths

Study anywhere. Anytime. Across all devices.

Graph $\frac{{(x - 3)}^{2}}{25} - \frac{{(y - 1)}^{2}}{9} = 1$