Transformation-

Describe the transformations necessary to transform the graph of f(x) (solid line) into that of g(x) (dashed line). 2 ) t( x ) g (x ) Describe the transformations necessary to transform the graph of f (x) into that of g(x). 3 ) f ( x ) = _ x g ( x) = 2(x + 2) -+ 3 Restrict the domain of the function shown so its inverse is a function. 4) 5) If the range of function y-f(x) is y 2 2, state the range of the new functiong(x)- -f(x+ 3) - 5. 11-A graph was reflected in the line y = x . Its reflection image is shown. Determine an equation of the original graph in terms of x and y. 6) 7) The key point (12, -5) is on the graph of y =f(x). Determine the coordinates of its image point under each transformation. a) y =f(-3x) b ) y - f ( 3x ) 8) As a result of the transformation of the 9) The point A(6, 5) lies on the graph of graph of y = f(x) into the graph of y f(x). What are the coordinates of its y=-2f(x+ 5)- 8, the point (2, 5) image A' on the graph of y =f '(x - 2) ? becomes point (x, y). Determine the value of (x, y). 10) For y = f(x) as shown, graph the 11) The graph of the function y = f(x) is following: y = -f(x - 1) +4 given. Graph the following transformations of the function v -5-2 f-(x-6)). Show each stage of the transformation in a different colour