The function f(x) = √x is translated 3 units in the positive y-direction and reflected on the y-axis. select the correct equation for the resulting function. a. f(x) = √–x + 3 b. f(x) = –√x + 3 c. f(x) = –√x – 3 d. f(x) = √–x + 3

The algebraic expression shown below is missing two whole number constants. determine the constants so that the expression simplified to 14x + 11 4x + 8(x + + + 2x

In this problem, we explore the effect on the standard deviation of multiplying each data value in a data set by the same constant. consider the data set 14, 6, 8, 15, 15. (a) use the defining formula, the computation formula, or a calculator to compute s. (round your answer to one decimal place.) s = 4.28 (b) multiply each data value by 3 to obtain the new data set 42, 18, 24, 45, 45. compute s. (round your answer to one decimal place.) s = 12.83 (c) compare the results of parts (a) and (b). in general, how does the standard deviation change if each data value is multiplied by a constant c? multiplying each data value by the same constant c results in the standard deviation remaining the same. multiplying each data value by the same constant c results in the standard deviation being |c| times as large. multiplying each data value by the same constant c results in the standard deviation increasing by c units. multiplying each data value by the same constant c results in the standard deviation being |c| times smaller. (d) you recorded the weekly distances you bicycled in miles and computed the standard deviation to be s = 3.8 miles. your friend wants to know the standard deviation in kilometers. do you need to redo all the calculations? yes no given 1 mile ≠1.6 kilometers, what is the standard deviation in kilometers? (enter your answer to two decimal places.)

If you apply the changes below to the linear parent function .f(x)=x what is the equation of the new function ? vertically stretch by a factor of 3 ; flip over the x axis