MathsNet: C - Coordinate geometry - Example 1

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Awarding Bodies

Page ID: 1659

C | Coordinate geometry | Asymptotes | «Example 1»

Use your mouse to change the value of a, b and c. The graph displayed is described by the Cartesian equation: y=a + \displaystyle\frac{b}{x-c}. There is one horizontal and one vertical asymptote, shown in red. What are the equations of these asymptotes?

Summary/Background

The horizontal asymptote is at y = a. The vertical asymptote is at x = c.

Software/Applets used on this page

JavaMath

These JavaMath applets show various types of graph, that can be altered in some way by clicking on the display or by using sliders provided. Zooming in and out may be achieved as follows:

buttons may be provided

zoom in by clicking the left mouse button

zoom in by dragging a out a box with the left mouse button

zoom out by shift-clicking the left mouse button

drag the display by clicking and dragging with the right mouse button

JavaMath is a collection of applets written by Professor David J. Eck (Department of Mathematics and Computer Science, Hobart and William Smith Colleges, Geneva, New York 14456). Website: JavaMath.

This question appears in the following syllabi:

Syllabus	Module	Section	Topic	Exam Year
AQA A-Level (UK - Pre-2017)	FP1	Coordinate geometry	Asymptotes	-
OCR A-Level (UK - Pre-2017)	FP2	Coordinate geometry	Asymptotes	-
OCR-MEI A-Level (UK - Pre-2017)	FP1	Coordinate geometry	Asymptotes	-
Universal (all site questions)	C	Coordinate geometry	Asymptotes	-
WJEC A-Level (Wales)	FP2	Coordinate geometry	Asymptotes	-