Graph the following function: - 1 sec ( 1 (2 - - )) + 2 y = 4 Drag the movable red point to shift the function, the black point to set the vertical asymptotes, and the blue point (whose y- value is printed on the graph) at the correct set of coordinates. You may click on a point to verify its coordinates. Note: Make sure to move the points in the direction of the phase shift represented in the function.
Graph the following function: - 1 sec ( 1 (2 - - )) + 2 y = 4 Drag the movable red point to shift the function, the black point to set the vertical asymptotes, and the blue point (whose y- value is printed on the graph) at the correct set of coordinates. You may click on a point to verify its coordinates. Note: Make sure to move the points in the direction of the phase shift represented in the function.
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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Please and answer and graph clearly so I can understand. Thank you so much!!!
![Graph the following function:
\[ y = 4 \sec \left(\frac{1}{2} \left( x - \frac{\pi}{2} \right)\right) + 2 \]
Drag the movable red point to shift the function, the black point to set the vertical asymptotes, and the blue point (whose \( y \)-value is printed on the graph) at the correct set of coordinates. You may click on a point to verify its coordinates.
Note: Make sure to move the points in the direction of the phase shift represented in the function.
**Graph Explanation:**
- The graph displays a secant function with vertical asymptotes and periodic arcs.
- Red dotted lines indicate the vertical asymptotes, which occur at intervals determined by the secant function’s period.
- A red point allows adjustment of the graph horizontally, coordinating the phase shift.
- A black point sets the position of the vertical asymptotes.
- A blue labeled point (\( y = 6 \)) is adjustable to fit a specific coordinate on the graph.
- The graph has a grid with x-values in terms of \(\pi\) ranging from \(-2\pi\) to \(4\pi\), and y-values ranging from \(-10\) to \(10\).
**Instructions for Use:**
- Adjust the red, black, and blue points to explore the effects of shifts and asymptotes on the secant function.
- Observe changes in the graph as you modify these controls, aiding in the understanding of trigonometric function transformations.
Provide your answer below:
[Graph Image]
RESET](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F24f7b9fc-b934-4e37-ae35-bdc4b8c3050d%2F6f3de761-3dbb-42a9-8c53-6b1cd2694d17%2Fvhn0fs9_processed.png&w=3840&q=75)
Transcribed Image Text:Graph the following function:
\[ y = 4 \sec \left(\frac{1}{2} \left( x - \frac{\pi}{2} \right)\right) + 2 \]
Drag the movable red point to shift the function, the black point to set the vertical asymptotes, and the blue point (whose \( y \)-value is printed on the graph) at the correct set of coordinates. You may click on a point to verify its coordinates.
Note: Make sure to move the points in the direction of the phase shift represented in the function.
**Graph Explanation:**
- The graph displays a secant function with vertical asymptotes and periodic arcs.
- Red dotted lines indicate the vertical asymptotes, which occur at intervals determined by the secant function’s period.
- A red point allows adjustment of the graph horizontally, coordinating the phase shift.
- A black point sets the position of the vertical asymptotes.
- A blue labeled point (\( y = 6 \)) is adjustable to fit a specific coordinate on the graph.
- The graph has a grid with x-values in terms of \(\pi\) ranging from \(-2\pi\) to \(4\pi\), and y-values ranging from \(-10\) to \(10\).
**Instructions for Use:**
- Adjust the red, black, and blue points to explore the effects of shifts and asymptotes on the secant function.
- Observe changes in the graph as you modify these controls, aiding in the understanding of trigonometric function transformations.
Provide your answer below:
[Graph Image]
RESET
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