What is the graph of
Know | Need | Plan |
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An equation | The lines of symmetry of the graph, the domain and range of the relation |
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Can you find values of x and y that satisfy the equation?
Yes; find the x- and y-intercepts. Then look for other values of x and y that make the calculations easy.
Make a table of values. Plot the points and connect them with a smooth curve.
x |
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0 | 3 | 4 | 5 |
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y | 0 |
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0 |
The graph is a circle with radius 5. Its center is the origin. Every line through the center is a line of symmetry.
The domain is the set of real numbers x with
Its many lines of symmetry make a circle a special kind of an ellipse. In general, an ellipse has only two lines of symmetry.
What is the graph of
What values should you substitute for x?
Substitute both positive and negative values for x.
Make a table of values. Plot the points and connect them with a smooth curve.
x |
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0 | 3 | 4 |
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y | 0 |
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0 |
The graph is an ellipse. The center is the origin. The ellipse has two lines of symmetry, the x-axis and the y-axis.
The domain is the set of real numbers x with