18. a. The graph of a parabola touches the x-axis at x-4 and passes through the point (2,9). Determine its equation. b. A second parabola touches the x-axis at xp and passes through the points (2,9) and (0, 36). Show there are two possible values for p. For each possible value, form the equation of the parabola, and sketch the parabolas on the same axes.
18. a. The graph of a parabola touches the x-axis at x-4 and passes through the point (2,9). Determine its equation. b. A second parabola touches the x-axis at xp and passes through the points (2,9) and (0, 36). Show there are two possible values for p. For each possible value, form the equation of the parabola, and sketch the parabolas on the same axes.
College Algebra (MindTap Course List)
12th Edition
ISBN:9781305652231
Author:R. David Gustafson, Jeff Hughes
Publisher:R. David Gustafson, Jeff Hughes
Chapter7: Conic Sections And Quadratic Systems
Section7.1: The Circle And The Parabola
Problem 87E
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