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1. Match each transformation with the correct graph. The graph of y = Vx appears on each graph as a dashed, red line for reference. a. y= Vx+3+4 b. y = 27 c y=-Vĩ d. y= V=x+2 2._

1. Match each transformation with the correct graph. The graph of y = Vx appears on each graph as a dashed, red line for reference. a. y= Vx+3+4 b. y = 27 c y=-Vĩ d. y= V=x+2 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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1. **Match each transformation with the correct graph. The graph of \(y = \sqrt{x}\) appears on each graph as a dashed, red line for reference.** a. \(y = \sqrt{x} + 4\) b. \(y = 2\sqrt{x}\) c. \(y = -\sqrt{x}\) d. \(y = \sqrt{x} + 2\) **Graph Descriptions:** 1. **Graph 1:** - Contains a solid blue line starting from the origin, moving upward and horizontally as \(x\) increases, appearing above the red reference line. - The transformation indicates a vertical shift upward by 4 units. 2. **Graph 2:** - Contains a solid blue line starting from the origin, moving upward more steeply than the red reference line. - The transformation indicates a vertical stretch of the original graph. 3. **Graph 3:** - Contains a solid blue line starting from the origin and decreasing downward when moving from left to right, below the red reference line. - The transformation indicates a reflection across the x-axis. 4. **Graph 4:** - Contains a solid blue line starting from the origin, moving upward, appearing slightly above the red reference line. - The transformation indicates a vertical shift upward by 2 units. Each graph visually represents a transformation of the basic square root function, demonstrated by the alterations in slope, direction, or vertical position compared to the reference graph.
Transcribed Image Text:1. **Match each transformation with the correct graph. The graph of \(y = \sqrt{x}\) appears on each graph as a dashed, red line for reference.** a. \(y = \sqrt{x} + 4\) b. \(y = 2\sqrt{x}\) c. \(y = -\sqrt{x}\) d. \(y = \sqrt{x} + 2\) **Graph Descriptions:** 1. **Graph 1:** - Contains a solid blue line starting from the origin, moving upward and horizontally as \(x\) increases, appearing above the red reference line. - The transformation indicates a vertical shift upward by 4 units. 2. **Graph 2:** - Contains a solid blue line starting from the origin, moving upward more steeply than the red reference line. - The transformation indicates a vertical stretch of the original graph. 3. **Graph 3:** - Contains a solid blue line starting from the origin and decreasing downward when moving from left to right, below the red reference line. - The transformation indicates a reflection across the x-axis. 4. **Graph 4:** - Contains a solid blue line starting from the origin, moving upward, appearing slightly above the red reference line. - The transformation indicates a vertical shift upward by 2 units. Each graph visually represents a transformation of the basic square root function, demonstrated by the alterations in slope, direction, or vertical position compared to the reference graph.
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