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Write an equation of a parabola that satisfies each set of conditions. a) opens upward, congruent with y= 2x, vertex (4, – 1) b) opens downward, congruent with y= vertex (-2, 3) f PPEDS downward, congruent with y= x², vertex (-3, 2)

Write an equation of a parabola that satisfies each set of conditions. a) opens upward, congruent with y= 2x, vertex (4, – 1) b) opens downward, congruent with y= vertex (-2, 3) f PPEDS downward, congruent with y= x², vertex (-3, 2)

Algebra and Trigonometry (6th Edition)
Algebra and Trigonometry (6th Edition)
6th Edition
ISBN:9780134463216
Author:Robert F. Blitzer
Publisher:Robert F. Blitzer
ChapterP: Prerequisites: Fundamental Concepts Of Algebra
Section: Chapter Questions
Problem 1MCCP: In Exercises 1-25, simplify the given expression or perform the indicated operation (and simplify,...
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Write an equation of a parabola that satisfies each set of conditions. a) opens upward, congruent with y = 2x', vertex (4, –1) b) opens downward, congruent with y = vertex (-2, 3) %3D c) opens downward, congruent with y =x², vertex (-3, 2) (P vertex (2, - 2), x-intercepts of 0 and 4 e) vertex (-1, 4), y-intercept of 2 f) vertex (4, 5), passes through (2, 9) Solution 4. Describe the transformations applied to the graph of y = x² to obtain a graph of each quadratic relation. Sketch the graph by hand. Start with the graph of y = x² and use the appropriate transformations. %3D a) y = -4(x – 5)² + 3 b) y = 2(x + 1)² – 8 (x – 1)² – 5 d) y = e) y = - (x – 3)² + 2 c) y = (++ 2)² + 1 f) y = 2(x + 1)² + 4 Solution
Transcribed Image Text:Write an equation of a parabola that satisfies each set of conditions. a) opens upward, congruent with y = 2x', vertex (4, –1) b) opens downward, congruent with y = vertex (-2, 3) %3D c) opens downward, congruent with y =x², vertex (-3, 2) (P vertex (2, - 2), x-intercepts of 0 and 4 e) vertex (-1, 4), y-intercept of 2 f) vertex (4, 5), passes through (2, 9) Solution 4. Describe the transformations applied to the graph of y = x² to obtain a graph of each quadratic relation. Sketch the graph by hand. Start with the graph of y = x² and use the appropriate transformations. %3D a) y = -4(x – 5)² + 3 b) y = 2(x + 1)² – 8 (x – 1)² – 5 d) y = e) y = - (x – 3)² + 2 c) y = (++ 2)² + 1 f) y = 2(x + 1)² + 4 Solution
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