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2-39.

Make predictions about how many times the graph of each equation below will touch the x-axis. You may first want to rewrite some of the equations in a more useful form. Homework Help ✎

  1. How many x-intercepts are there?

    2

  2. 1

  3. 1

  4. Look at parts (a) through (c). Remember to factor first to find the x-intercepts.

  5. Look at parts (a) through (d).

  6. Look at parts (a) through (d). Remember to factor -1 out.

  7. Check your predictions with your calculator.

  8. Write a clear explanation describing how you can tell whether the graph of a parabola will touch the x-axis at only one point.

    What pattern did you notice above?