Write the equation of the new parabola in vertex form y = a (x - h)² + k. If there is no value for a, h or k do not write the letter. For example, y = 3x² + 1 does not have a value for h, but is still written in vertex form. a. The parabola y = x² is transformed vertically by a factor of 3 and opens down. b. The parabola y = x² is translated 6 units left and 11 units up.

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 64E
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Write the equation of the new parabola in vertex form y = a (x - h)² + k. If there is no value for a,
h or k do not write the letter. For example, y = 3x² + 1 does not have a value for h, but is still
written in vertex form.
a. The parabola y = x² is transformed vertically by a factor of 3 and opens down.
b. The parabola y = x² is translated 6 units left and 11 units up.
Transcribed Image Text:Write the equation of the new parabola in vertex form y = a (x - h)² + k. If there is no value for a, h or k do not write the letter. For example, y = 3x² + 1 does not have a value for h, but is still written in vertex form. a. The parabola y = x² is transformed vertically by a factor of 3 and opens down. b. The parabola y = x² is translated 6 units left and 11 units up.
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