Given the parent function, f(x) = x^3, create a new function, g(x), based on the following transformations:

 

Reflected over the x-axis

Translated down 4

Vertical shrink of 1/2

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

Begin by graphing the absolute value function, f(x)-lx. Then use transformations of this graph to graph the given function What transformations are needed in order to obtain the graph of g(x) from the graph of f(x)? Select all that apply A. Horizontal shift B. Horizontal stretch/shrink □ C. Reflection about the y-axis D. Vertical shift □ E. Vertical stretch/shrink □ F. Reflection about the x-axis Choose the correct graph below A. 10 10 10 10 10 10 10

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