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10. Graph the following: (d) y = x2 - 4 (e) y = -(r+3)² + 4 (f) y = (r- 3)2

10. Graph the following: (d) y = x2 - 4 (e) y = -(r+3)² + 4 (f) y = (r- 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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The problem is asking to graph the following equations: (d) \( y = x^2 - 4 \) (e) \( y = -(x + 3)^2 + 4 \) (f) \( y = (x - 3)^2 \) Each equation represents a parabolic curve. - Equation (d) represents a parabola that opens upwards with its vertex at (0, -4). - Equation (e) represents a parabola that opens downwards with its vertex at (-3, 4). - Equation (f) represents a parabola that opens upwards with its vertex at (3, 0). These graphs should be plotted on a coordinate plane to visually demonstrate the transformations applied to the basic parabolic shape \( y = x^2 \).
Transcribed Image Text:The problem is asking to graph the following equations: (d) \( y = x^2 - 4 \) (e) \( y = -(x + 3)^2 + 4 \) (f) \( y = (x - 3)^2 \) Each equation represents a parabolic curve. - Equation (d) represents a parabola that opens upwards with its vertex at (0, -4). - Equation (e) represents a parabola that opens downwards with its vertex at (-3, 4). - Equation (f) represents a parabola that opens upwards with its vertex at (3, 0). These graphs should be plotted on a coordinate plane to visually demonstrate the transformations applied to the basic parabolic shape \( y = x^2 \).
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