Suppose f(a:) = 2x3 63:. Find a formula for the function g(:c) obtained by compressing the graph of y = f (x) vertically by a factor of 4. Suppose f(a:) = x2 + 33: 2. Find a formula for the function g(:c) obtained by translating the graph of y = f(:1:) horizontally by 5 units to the left. Which function below has f (0) = 0 and a period of 71' for all of :13? O 71' f(cc) = sin (7m: E) 0 None of these answers are correct. 0 f(a2) = cos(1ra: 1) O f(:12) = sin (% + g) Q f(a:) = cos (7m: + g) Q Which of the following limits exists? 0 None of these answers are correct. 0 . 4 a: 11m $>4+ 6 . a: 4 11m zit>4 lim zit>0 6 . 4 a: 11m zit>4 6 . 4 a: 11m Which of the following vectors has the smallest length? 0 a = (6,3) O a = (6,8) 0 a = (6,5) 0 a = (4, 5) 0 None of these answers are correct. 0 What is the angle between u = (2, 2) and v = (-2, 1)? O 1.72 radians O 1.63 radians C None of these answers are correct. O 1.65 radians O 1.89 radians O 1.83 radiansLet '3 be a 2D vector with length \"if H = 2 that points in a direction 6 = 1r / 8 radians clockwise from the positive yaxis. What are the coordinates of 77'? O 0 = (0.77,1.85) O 0 = (0.62,1.90) O 0 = (0.67,1.88) O 0 = (0.71,1.87) 0 None of these answers are correct. 0 0 = (0.82,1.82)