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.
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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Transcribed Image Text:18. a. The graph of a parabola touches the x-axis atx=-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.
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