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Graph the parabola y = x2 + 1 by plotting any three points on the parabola. Move the key points on the graph to create the parabola. Provide your answer below: -10 -5 10 -5 0 -10 10

Graph the parabola y = x2 + 1 by plotting any three points on the parabola. Move the key points on the graph to create the parabola. Provide your answer below: -10 -5 10 -5 0 -10 10

Advanced Engineering Mathematics
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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Question
To graph the parabola \( y = -x^2 + 1 \), plot any three points on the parabola. Adjust the key points to shape the parabola accurately. **Interactive Graph:** - The graph displays a parabola opening downwards, consistent with the equation \( y = -x^2 + 1 \). - The grid is marked with a Cartesian coordinate system, showing both x and y axes ranging from -10 to 10. - Three movable points on the curve help in accurately plotting and adjusting the parabola's shape. - The parabola's vertex is at the point (0, 1), indicating the maximum point due to the negative leading coefficient. *Instructions:* Use these points to ensure the curve's shape matches the equation. Adjust the position of each point to explore how the parabola changes with variations in values.
Transcribed Image Text:To graph the parabola \( y = -x^2 + 1 \), plot any three points on the parabola. Adjust the key points to shape the parabola accurately. **Interactive Graph:** - The graph displays a parabola opening downwards, consistent with the equation \( y = -x^2 + 1 \). - The grid is marked with a Cartesian coordinate system, showing both x and y axes ranging from -10 to 10. - Three movable points on the curve help in accurately plotting and adjusting the parabola's shape. - The parabola's vertex is at the point (0, 1), indicating the maximum point due to the negative leading coefficient. *Instructions:* Use these points to ensure the curve's shape matches the equation. Adjust the position of each point to explore how the parabola changes with variations in values.
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