please help me and explain in detail , please make sure of the answers

• it's math 30-1 transformation unit

I have the answers for mc and nr but i want a full explanation of steps etc

8- D

9-B

NR 4 - 2

NR 5- 13

I DONT HAVE THE WR

PLEASE HELP I HAVE A UNIT EXA TMRW

8. For which of the following graphs of y = f(x) would it be true that -f(x) = f(-x) ? C. D. Numerical Response #4 The function y = f(x) is transformed to become the function g(x) = f[b(x)] + 1. The point (12, 40) on the graph of y = f(x) corresponds to the point (6, 41) on the graph of y = g(x). The value of b, to the nearest whole number, is _marks. Written Response - Algebraic solutions required, Solutions without adequate support may not receive 1. The function f(x) = lal has been transformed into the function g (x) = -312x- 121 + 5 Complete the following statement. (3 marks) -3(21 x - 61+5 ) "The function f(x) has been trem formed to the function g(x) by stretching horizontally about the 1-axis by a factor of _2 . stretching vertically about the x-axis by a factor of 3 , reflecting in the -G85 , translating units up and units horizontally to the fight" 2.5/ 3 2. The function y = f(x) is shown on the grid below. The function g(x) is defined as g(x) = -f(2(x - 1)). State the point mapping notation for the transformations and sketch the graph of g (x) on the same grid. (2 marks) (3/ 6) 3. The graph of y = vx is transformed to the function shown below. Determine the equation of the transformed function. (2 marks) CUse the following to answer the next question. The graph of f(x) - -(x-1) +4 is shown to the below. 9. Which of the following statements about transformations on y = f(x) is FALSE? A. The domain of y= f (x) is (-00, 4] B. The value of f-'(1) = 4. The graph of x = f(y) will have one x-intercept. The graph of y = f"(x) will have 2 invariant points. - Use the following information to answer the next question. A function y = f (x) is shown below. ( -4, 2) * (2,2) (0, 1) (-2, 0) Three students were asked to write the equation for a transformation of y = f (x) with exactly one invariant point. Their response are shown below: Student #1: y = 2f(x) Student #2: y = f(-3x) + 1 Student #3: x = f(y) Numerical Response #5 The student(s) that are correct are numbered If more than one student is correct, record the student numbers in ascending order 3/2