Graph the hyperbola. k+ -9x² +4y²-54x-24y-81=0 14 -12. 10. -09 -9 T 2 23 Ö CE $. 6 30 10 16 5- 12 X X U S

Algebra and Trigonometry (6th Edition)
6th Edition
ISBN:9780134463216
Author:Robert F. Blitzer
Publisher:Robert F. Blitzer
ChapterP: Prerequisites: Fundamental Concepts Of Algebra
Section: Chapter Questions
Problem 1MCCP: In Exercises 1-25, simplify the given expression or perform the indicated operation (and simplify,...
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**Equation Transcription:**

Graph the hyperbola.

\[
-9x^2 + 4y^2 - 54x - 24y - 81 = 0
\]

**Graph Description:**

This is a coordinate grid with both the x-axis and y-axis marked. The grid ranges approximately from -14 to 14 on both axes. There is no graph of the hyperbola drawn yet, indicating that the process of plotting is to be done interactively or by the user.

**Toolbar:**

To the right of the grid, there is a toolbar with icons for various geometric tools. These include:

- A cube for 3D shapes.
- A pencil for drawing freehand.
- A line to draw straight line segments.
- An ellipse for drawing ovals or circles.
- A parabola for sketching parabolic shapes.
- An ellipse for creating oval shapes (possibly another variation of circles or ellipses).
- A cross for drawing intersecting lines.
- A grid tool for toggling grid visibility or layout adjustments.

There's also an "X" button likely for clearing the graph and a refresh icon for resetting actions.

**Instructions for Users:**

Users are expected to graph the hyperbola defined by the given equation on the coordinate grid provided, possibly using the available toolbar options to aid in sketching and checking their work.
Transcribed Image Text:**Equation Transcription:** Graph the hyperbola. \[ -9x^2 + 4y^2 - 54x - 24y - 81 = 0 \] **Graph Description:** This is a coordinate grid with both the x-axis and y-axis marked. The grid ranges approximately from -14 to 14 on both axes. There is no graph of the hyperbola drawn yet, indicating that the process of plotting is to be done interactively or by the user. **Toolbar:** To the right of the grid, there is a toolbar with icons for various geometric tools. These include: - A cube for 3D shapes. - A pencil for drawing freehand. - A line to draw straight line segments. - An ellipse for drawing ovals or circles. - A parabola for sketching parabolic shapes. - An ellipse for creating oval shapes (possibly another variation of circles or ellipses). - A cross for drawing intersecting lines. - A grid tool for toggling grid visibility or layout adjustments. There's also an "X" button likely for clearing the graph and a refresh icon for resetting actions. **Instructions for Users:** Users are expected to graph the hyperbola defined by the given equation on the coordinate grid provided, possibly using the available toolbar options to aid in sketching and checking their work.
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