h is related to one of the parent functions described in this chapter. Describe the sequence of transformations from f to h. h(x)=−1/3x^3

g is related to one of the parent functions described in Section 1.6. Describe the sequence of transformations from f to g. g(x)

Given that f(x) = 3x - 7 and that (f + g)(x) = 7x + 3, find g(x).

${\displaystyle x^2+8x+15}$

By using the transformation of function ${\displaystyle y=x^2}$,
sketch the function of y=${\displaystyle \frac{{(x-2)}^2}{3}+4}$

Graph f and g in the same rectangular coordinate system. Use transformations of the graph of f to obtain the graph of g. Graph and give equations of all asymptotes Use the graphs to determine each functions

An observational study is retrospective if it considers only existing data. It is prospective if the study design calls for data to be collected as time goes on. Tell which of the following observational studies are retrospective and which are prospective. Out of curiosity, Mimi looks up the ages of all the Best Actress winners in the years they won their Oscars, and then gathers the same data for the Best Actor winners, to sec whether male or female winners were, on the average younger

h is related to one of the six parent functions. (a) Identify the parent function f. (b) Describe the sequence of transformations from f to h. (c) Sketch the graph of h by hand. (d) Use function notation to write h in terms of the parent function f. ${\displaystyle h\left(x\right)=\mid 2x+8\mid -1}$