2. Given: y = 3x2 1) Write the equation of a parabola that contains the point (2, -12) that is congruent to the parabola that is given. Describe the series of transformations that would move the given parabola to your parabola. 2) Write the equation of a parabola that contains the point (0, 8) that is congruent to the parabola that is given. Describe the series of transformations that would move the given parabola to your parabola. 3) Write the equation of a parabola that is similar (not congruent) to the given parabola that does NOT contain the point (0, 0), but does contain the point (2, 2).
2. Given: y = 3x2 1) Write the equation of a parabola that contains the point (2, -12) that is congruent to the parabola that is given. Describe the series of transformations that would move the given parabola to your parabola. 2) Write the equation of a parabola that contains the point (0, 8) that is congruent to the parabola that is given. Describe the series of transformations that would move the given parabola to your parabola. 3) Write the equation of a parabola that is similar (not congruent) to the given parabola that does NOT contain the point (0, 0), but does contain the point (2, 2).
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:2. Given:
y = 3x2
1) Write the equation of a parabola that contains the point (2, -12) that is congruent to the parabola that is given. Describe the series
of transformations that would move the given parabola to your parabola.
2) Write the equation of a parabola that contains the point (0, 8) that is congruent to the parabola that is given. Describe the series of
transformations that would move the given parabola to your parabola.
3) Write the equation of a parabola that is similar (not congruent) to the given parabola that does NOT contain the point (0, 0), but
does contain the point (2, 2).
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