Dr. J's Maths.com
Where the techniques of Maths
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Functions - Hyperbola
Test Yourself 1.


 

 

Drawing basic hyperbolas from equations. 1. Draw a sketch of and show the main features.
  2. Draw a sketch of and show the main features.
  3. Draw a sketch of and show the main features.
  4. Draw a sketch of and show the main features.

Determine the equation from a graph.

5. What is the equation of the parabola with the following graph?

 

6. What is the equation of the parabola with the following graph?

 

7. What is the equation of the parabola with the following graph?

 

8. What is the equation of the parabola with the following graph?

 

9. What is the equation of the parabola with the following graph?

More advanced hyperbolas. 10. Draw a sketch of .
  11. (a) Show that .

(b) Hence of otherwise sketch a graph of showing all important features.

  12. (a) Show that

(b) Hence or otherwise, sketch a graph of Showing all important features.