Name: Answer all questions in the space provided. You must show a full solution in order to receive full marks. Be careful. 1. Given the graph of f(x) shown below, what are the coordinates of point A if the transformed graph is represented by g(x) = f(x) + 3? (1 mark) 6. What transformations were applied to the graph of f(x) to obtain the graph of g(x)? (5 marks) A (5.-1) 2. The graph of y = x is stretched horizontally by a factor of 2 and reflected in the x-axis. Determine the equation of the new function. (2 marks) 3. The graph y=x2 is stretched vertically by a factor of 3 and moved 2 units to the right and 4 units up. Determine the equation of the new function. (3 marks) 4. f(x) g(x) The equation y = |x| has a horizontal shift left of 4 units and vertical translation of 5 units down. Determine the equation of the new function. (2 marks) 7. Sketch the graph of f(x), then sketch the graph of the transformation of graph f(x). (5 marks each). Be careful! 5. The key point (2, 5) is on the graph of y = f(x). Determine the coordinates of its image point under each transformation. First indicate what points (x, y) map to. (4 marks each) a.) y-3= f(x+2) (x, y) (2,5) b.) y=-2f(2x-6) (x, y) (2,5) a.) f(x) = |x| g(x) = -2x + 1| + 3 b.) f(x) = x g(x) + 3 = -(-1x)