N - 11. The graph of y = A(x) is horizontally compressed by a factor of 3, vertically compressed by a factor of and reflected in the y-axis. What is an equation of the image graph in terms of the function f? A. C. y = (-3x) y - =f(x - 3) B. D. y - 3 = Ax - ? y = -3f(2X)12. The graph of y = g(x) is the image of the graph of y = f(x) after a combination of transformations. Corresponding points are labelled. What is an equation of the image graph in terms of the function f? + E...... .E...... A. v+3 = 4167 (x -3)) C. -, A(4(x + 3 ) ) B. y+ 3 = -2A(4(x -3)) D. y - 3 = 4167 (x + 3))13. Which statement below describes how the graph of )+ 2 = -3 [, (x+ 3) ] is related to the graph of y = x? A. The graph of y = x is vertically stretched by a factor of ,, horizontally compressed by a factor of , reflected in the x-axis, then translated 3 units left and 2 units down. B. The graph of y = x" is vertically compressed by a factor of 2, horizontally stretched by a 2 factor of 3, reflected in the x-axis, then translated 3 units right and 2 units up. C. The graph of y = x" is horizontally stretched by a factor of ,, vertically stretched by a factor of 3, reflected in the x-axis, then translated 3 units right and 2 units up. D. The graph of y = x" is horizontally compressed by a factor of 2, vertically stretched by a factor of 3, reflected in the x-axis, then translated 3 units left and 2 units down.14. 15. 16. A transformation image of the graph of y = x) is represented by the equation y + 2 = 4f(-2(X + 3)). The point (0, -18) lies on the image graph. What are the coordinates of the corresponding point on the graph of y = x} ? A. (-3,-2) C. (3,16) B. (6,4) D. (-18, U) . . . . 5x + 2 Deterrmne an equatlon of the Inverse of the functlon y = 4 A. _ 4x2 C. _ 5x2 y_ _5 y 4 B. 4x + 2 D. 5x + 4 J' = _5 J' = 2 The point M(2, 9) lies on the graph of y = x). What are the coordinates of its image M' on the graph of 1 y = f (X - 6)? A. (15.-2) c. (8,15) B. (9,2) D. (3,2) 17. Here is the graph of y = x). Identify the graph of its inverse. \fShort Answer stretched vertically by a factor of 9 and 18. The graph of y = x) is compressed hozontally by a factor of 4 8 , 9 9 reected in the y-axis. What is the equation of the image graph in terms of the function f? (1 mark) 19. The point P(-2, -5) lies on the graph of y = (x 3)(x + 3). What are the coordinates of its image P' on the graph of y = -3(2x 3)(2x+ 3)? (2 marks) function in terms of x and y and sketch the original graph. (Hint: the original function is a transformation of 20. A graph was reflected in the line y = x. Its reflection image is shown. Determine an equation of the original X ..... -................. ...... ....". ....... .... y = /x . ) (2 marks) C..L....... -....... ............. ......... ...... ..A...21. For the base function A(x) = x2 , a reflection in the y-axis is followed by a reflection in the x-axis. a) Discuss the effect of each reflection on the base function and sketch the function after each reflection. (1 mark) b) Is there a point that you expect to be invariant during these reflections? If so, state its coordinates. Verify using the sketches. (1 mark) c) Make a general statement regarding invariant points after a reflection in the x-axis and then in the y-axis. (1 mark)