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1. a) The black graph shown below was transformed from the green graph. The green graph represents y = x. Determine the equation of the black graph and explain your reasoning. 10 y 8 6 -6-4-2 4 2 0 -2 -4 +6 -8 -10 2 y=x² 4 6 x^ → 8

1. a) The black graph shown below was transformed from the green graph. The green graph represents y = x. Determine the equation of the black graph and explain your reasoning. 10 y 8 6 -6-4-2 4 2 0 -2 -4 +6 -8 -10 2 y=x² 4 6 x^ → 8

Advanced Engineering Mathematics
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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1. a) The black graph shown below was transformed from the green graph. The green graph represents y = x². Determine the equation of the black graph and explain your reasoning. -6 -4 -2 10 ↑y 8 6 4 12. 0 -2 -4 +6. -8 -10- 2 4 x² 6 X 8 b) State the transformations that were applied to the graph of y = x to result in the black graph.
Transcribed Image Text:1. a) The black graph shown below was transformed from the green graph. The green graph represents y = x². Determine the equation of the black graph and explain your reasoning. -6 -4 -2 10 ↑y 8 6 4 12. 0 -2 -4 +6. -8 -10- 2 4 x² 6 X 8 b) State the transformations that were applied to the graph of y = x to result in the black graph.
2. Write the equation of each quadratic relation in vertex form. Show all work. a) Vertex at (7, 5), opens downward, vertical stretch of 4 b) Zeros at 1 and 5, minimum value of -12, passes through (6, 15)
Transcribed Image Text:2. Write the equation of each quadratic relation in vertex form. Show all work. a) Vertex at (7, 5), opens downward, vertical stretch of 4 b) Zeros at 1 and 5, minimum value of -12, passes through (6, 15)
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