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# QS4: Week 4 Survey Questions

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📗 For all questions except for the last one, you can select one or more choices. You get the point for the question only if you selected all the correct choices.

📗 Question 0

📗 Question 1

Question 2

📗 Question 3

Question 4

📗 Question 5

Question 6

📗 Question 7

Question 8

📗 Question 9

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📗 [1 points] Which of the following are parameterizations of the line segment from [0, 0] to [1, 1] with the unit parameter u between 0 and 1?

[u, u]
[u2, u2]
[2 * u, 2 * u]
[u, u2]
[Math.sin(u), Math.sin(u)]
None of the above.

📗 [1 points] Which of the following parameterizations trace the curve faster at the beginning (speed is faster at u = 0 than u = 1)? Do not include the ones with constant speed.

📗 Note: the answer [-u2, 0] has speed 0 at the beginning and -2 as the end, and technically -2 is "faster" than 0, so the answer is incorrect.

[Math.sqrt(u), 0]
[Math.log(1 + u), 0]
[-u2, 0]
2, 0]
[-u, 0]
None of the above.

📗 [1 points] Which of the following parameterizations traces the line segment [a * (1 - u) + b * u, 0] where u is the unit parameter from 0 to 1? Choose the ones that work for any values of a and b.

[b * (1 - u) + a * u, 0]
[a + (b - a) * u, 0]
[b + (a - b) * u, 0]
[a + b * u, 0]
[a + b * (1 - u), 0]
None of the above.

📗 [1 points] Which two of the following are endpoints of the polynomial segment [1 + 2 * u + 3 * u2, u]?

[1, 0]
[6, 1]
[6, 0]
[1, 1]
[3, 1]
None of the above.

📗 [1 points] What is the derivative (rate of change) of the quadratic curve segment [1 + u2, u] at [1, 0]?

[0, 1]
[2, 1]
[2, 0]
[0, 0]
[1, 0]
None of the above.

📗 [1 points] What is the point at u = 0.5 from the De Casteljau construction of the quadratic Bezier curve with endpoints [0, 0], [1, 1] and the middle control point [1, 0]?

[0.75, 0.25]
[0.5, 0]
[1, 0.5]
[0.25, 0.75]
[0.5, 0.5]
None of the above.

📗 [1 points] Given a quadratic Bezier curve with endpoints [0, 0], [1, 1] and derivative [0, 1] at the first point, which three of the following points are the control points of the Bezier curve?

📗 Note: not covered during lecture, the answer is [0, 0], [0, 0.5], [1, 1].

[0, 0]
[1, 1]
[0, 0.5]
[0, 1]
[0, 2]
None of the above.

📗 [1 points] Given a cubic Bezier curve with endpoints [0, 0], [1, 1] and derivatives at those points [0, 1] and [1, 0] respectively, which two of the following points are the second and third control points of the Bezier curve?

📗 Note: not covered during lecture, the answer is [0, 1/3], [2/3, 1].

[0, 1/3]
[2/3, 1]
[4/3, 0]
[0, 3]
[-2, 1]
None of the above.

📗 [1 points] Please provide additional comments, questions, or feedback:

📗 [1 points] Have you completed the in-class quiz on TopHat?

Note: if you selected the second or third choice, you will get the same grade from this survey for the in-class quiz; if you selected the forth choice, you only have to complete the last question.

# QS4: Week 4 Survey Questions

# Grade

# Submission