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Circle Graphs

Graphs HOME | Achievement Objectives | Parabola Graphs | Parabola Questions | Cubics | Hyperbola | Circles | Exponential | Logs | Radians | Trig Graphs Overview | Trig Vertical Shift | Trig Horizontal Shift | Trig Equations | Trig Models | General Translations | Applications | Revision

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Circles

Sketching basic circles in the form x2 + y2 = C
Translated circles in the form (x + A)2 + (y + B)2 = C
Finding the coordinates of the centre, and calculating the 'x' and 'y' intercepts.

Remember to define the Domain if you write the equation for part of a circle graph. eg 3 ≤ x ≤9

Circle Graphs

Class notes, Blank notes

Ex11.04, Ex11.05

Circles

p48,

GeoGebra Java Circles

 

Jump down to... Basic circle | circle family | vertical shift | horizontal shift | combined shifts | Revision Questions | Excel demo (contains macros)

Basic circle

  How are x and y related?  

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Circle family

Changing the radius
 

Mouse-over the equations to see the graph translation

Note: All these circles have the center at (0,0)

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Vertical shift

Adding a constant to y vertically translates the circle graph
 

 

Mouse-over the equations to see the graph translation

NOTE: The centre point is translated vertically.
From this point use the radius to sketch the circle

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Horizontal shift

Adding a constant to x horizontally translates the circle graph
 

 

Mouse-over the equations to see the graph translation

NOTE: The centre point is translated. From this point use the radius to sketch the circle

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Combined shifts

Horizontal and vertical shifts can be combined
 

 

Mouse-over the equations to see the graph translation

NOTE: The centre point is translated. From this point use the radius to sketch the circle

Excel demo (contains macros)

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Continue to exponential graphs

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