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Section 2.1 Intercepts; Symmetry; Graphing Key Equations

Learn how to find x-intercepts and y-intercepts of equations and determine symmetry. Plot points to graph equations efficiently. Test graph symmetry across various axes and points. Practice exercises provided.

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Section 2.1 Intercepts; Symmetry; Graphing Key Equations

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  1. Section 2.1Intercepts; Symmetry; Graphing Key Equations

  2. Find the x-intercept(s) and the y-intercept(s) of the graph of then graph by plotting points. To find the x-intercept(s), let y = 0. To find the y-intercept(s), let x = 0.

  3. Now find and plot some points.

  4. Try This: Find the intercepts and graph the equation by plotting points.

  5. If a graph is symmetric with respect to the x-axis and the point (3,2) is on the graph, what other point is also on the graph? (3,2) (3,–2)

  6. If a graph is symmetric with respect to the y-axis and the point (3,2) is on the graph, what other point is also on the graph? (3,2) (–3,2)

  7. If a graph is symmetric with respect to the origin and the point (3,2) is on the graph, what other point is also on the graph? (3,2) (–3, –2)

  8. x-Axis: Not equivalent so not symmetric with respect to the x-axis. IS equivalent so symmetric with respect to the y-axis. y-Axis: Not equivalent so not symmetric with respect to the origin. Origin:

  9. Try this: List the intercepts and test for symmetry.

  10. Homework • P. 170 # 15 – 60 (x5)

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