📗 [1 points] Suppose print(...) behaves like console.log(...), what does the following block of code print?

function f(x) {
    let y = x;
    let g = function(z) {
        print("A " + (y + z));
        y = y + 1;
    }
    y = y + 2;
    print("B " + y);
    return g;
}
let a = f(??);
let b = f(??);
a(??);
b(??);
a(??);

📗 [1 points] A quadratic Bezier curve has its control points , , . If the curve is the same as a cubic Bezier curve, it has control points at 0, 0 0, 0 0, 0 0, 0. Click Check to draw the curve. If the red curve segment is on top of the black curve segment, then the answer is correct.

📗 [1 points] A Bezier curve with control points , , , is re-parameterized with an arc-length parameterization. The tangent at the beginning of the curve is . The tangent vector at the end of the curve is . Click Check to draw the tangent: if the color of the tangent is green, then it is correct.

📗 [1 points] Two transformations \(f\) and \(g\) are commutative if \(f\left(g\left(x\right)\right) = g\left(f\left(x\right)\right)\) for every \(x \in \mathbb{R}^{2}\). In the following table S is scaling, R is rotation, and T is translation, a, b, c, d > 0 are distinct constants.

📗 [1 points] The function \(f\left(u\right) = \begin{bmatrix} \cos\left(u\right) \\ \sin\left(u\right) \end{bmatrix}\) is an arc-length parameterization over \(u \in \left[0, 1\right]\). Which of the following are also arc-length parameterizations over \(u \in \left[0, 1\right]\).

📗 [1 points] A quadratic Bezier curve has its control points , , . A cubic Bezier curve is connected to the end of it with \(C\left(1\right)\) continuity. Give an example of the control points of the cubic curve segment: 0, 0 0, 0 0, 0 0, 0. Click Check to draw the curve. If the curve segment is green, then the answer is correct.

📗 [1 points] A cubic Bezier curve has its control points , , , . A quadratic Bezier curve is connected to the end of it with \(G\left(1\right)\) but not \(C\left(1\right)\) continuity. Give an example of the control points of the quadratic curve segment: 0, 0 0, 0 0, 0. Click Check to draw the curve. If the curve segment is green, then the answer is correct.

📗 [1 points] Two cubic Bezier curves have their control points , , , and , , , . Another cubic Bezier curve is used to connect the two cubic curves with \(C\left(1\right)\) continuity. Give an example of the control points of the cubic curve segment: 0, 0 0, 0 0, 0 0, 0. Click Check to draw the curve. If the curve segment is green, then the answer is correct.

📗 [1 points] If the transformation with matrix is a rotation, what are valid values of \(a, b\) = . Use Draw to test the operation on a square drawn at \(\begin{bmatrix} 0 \\ 0 \end{bmatrix}\).

📗 [1 points] Redefine the mat array so that the image on the left and the image on the right look the same.

context.transform(mat[0][0], mat[1][0], mat[0][1], mat[1][1], mat[0][2], mat[1][2]);
context.fillRect(0, 0, 20, 20);