Describe all the transformations, reflections and dilations for the following functions given the parent functions f(x) = x^2 & g(x) = x^3

 

1.  f(x) = 1/2(x + 3)^2 - 6

2.  g(x) = -3(x - 4)^3 + 7

Compare the function with the parent function. Without graphing, what are the vertex, axis of symmetry, and transformations of the parent function?

Match each of the following functions with its graph, and identify the transformations that took place on the parent (original) function a. f(x) -(x 2)3 3; Shift of the graph of xto the b. g(x) - -x3-2; The graph of x reflected over the c. h(x) =-61n(x + 1); by followed by a shift by followed by a shift of Shift to the by of In(x)'s graph followed by a reflection across the and a stretch by a factor of d. k(x) =-6e-X; Graph of eX first reflected across the then reflected across the x-axis and finally is stretched by a factor of 12x -6 -4.2 Graph A Graph B Graph C Gaph D