Use transformations of the graph of f(x) = x² to determine the graph of the given function. g(x) = (x+6)² What transformation is needed to graph the function g(x) = (x+6)²? Choose the correct answer below. OA. The graph of f(x) = x² should be shifted 6 units up. B. The graph of f(x) = x² should be shifted 6 units to the right. OC. The graph of f(x) = x² should be shifted 6 units down. OD. The graph of f(x) = x² should be shifted 6 units to the left.

How do you find the domain for the composition of two functions, fg ?

YOUR TURN Graph f(x)=x3+3x2+9x10.

LIFE SCIENCE APPLICATIONS APPLY IT Splenic Artery Resistance Blood flow to the fetal spleen is of research interest because several diseases are associated with increased resistance in the splenic artery the artery that goes to the spleen. Researchers have found that the index of splenic artery resistance in the fetus can be described by the function y=0.057x0.001x2, where x is the number of weeks of gestation. Source: American Journal of Obstetrics and Gynecology. a. At how many weeks is the splenic artery resistance a maximum? b. What is the maximum splenic artery resistance? c. At how many weeks is the splenic artery resistance equal to 0, according to this formula? Is your answer reasonable for this function? Explain.