Plotting the graph of reciprocal (hyperbola)

Cambridge IGCSE Mathematics 0580
Chapter 18. Curve Graphs

Lesson 18.3
Plotting reciprocal graphs (the hyperbola)

Objectives:

By the end of this meeting, it is expected that students will be able to:

Understand the basic characteristics of a hyperbolic graph.
Identify key components of a hyperbolic equation.
Draw hyperbolic graphs.

Audio Response

So, what do you understand about hyperbola from the video? Explain!

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​Plot the graph of y = 6/x

Fill in the Blanks

Multiple Choice

What is the missing y value?

• $$\frac{1}{2}$$

• $$\frac{1}{4}$$

• $$\frac{1}{8}$$

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Multiple Choice

Choose the correct answer!

• Curve a

• Curve b

Multiple Choice

What is the equation of the hyperbola?

• $$y=\frac{4}{x}$$

• $$y=-\frac{2}{x}$$

• $$y=\frac{2}{x}$$

• $$y=-\frac{4}{x}$$

Sketching graphs of reciprocal function
y=a/x+q

Step 1: Identify the shape of the graph.

The value of a determines where the curves will be on the graph.
If a>0, the graph are in the 1st and 3rd quadrant.
If a<0, the graph are in the 2nd and 4th quadrant.
Step 2: find the x-intercept, y=0
Step 3: Determine asymptotes (y-axis and line y=q)
Step 4: Sketch the graph.

Match

Match the following graph and its function!

• $$xy=-3$$

• $$y=-\frac{4}{x}$$

• $$y=-\frac{3}{x}+1$$

• $$y=\frac{1}{x}+3$$

Video Response

Explain a short summary of today's lesson!

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