h is related to one of the parent functions described in this chapter. Describe the sequence of transformations from f to h.h(x)=|x+3|−5.

h is related to one of the parent functions described in this chapter. Describe the sequence of transformations from f to h.
${\displaystyle h\left(x\right)=-\surd x+1+9}$

How can you use what you know about transformations of functions to graph radical functions?

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. To see whether crime mes are related to moon phase, a researcher looks at ten years of archived police blotter reports and compares them with moon charts from the same period.

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. ${\displaystyle h\left(x\right)={(x-2)}^3+5}$

Describe the transformations that were applied to ${\displaystyle y=x^2}$ to obtain each of the following functions. ${\displaystyle a)y=-2{(x-1)}^2+23b)y={\left(\frac{12}{13}(x+9)\right)}^2-14c)y=x^2-8x+16d)y=(x+\frac{3}{7})(x+\frac{3}{7})e)y=40{(-7(x-10))}^2+9}$

Begin with the graph of y = ln x and use transformations to sketch the graph of each of the given functions. y = 1 - ln (1 - x)