Which statement correctly describes the relationship between the graph of f(x)=8xf(x)=8x and the graph of g(x)=f(x)−1g(x)=f(x)−1 ?
the graph of g(x)g(x) is the graph of f(x)f(x) translated 1 unit up.

the graph of g(x)g(x) is the graph of f(x)f(x) translated 1 unit left.

the graph of g(x)g(x) is the graph of f(x)f(x) translated 1 unit down.

the graph of g(x)g(x) is the graph of f(x)f(x) translated 1 unit right.

Atextile fiber manufacturer is investigating a new drapery yarn, which the company claims has a mean thread elongation of 12 kilograms with a standard deviation of 0.5 kilograms. the company wishes to test the hypothesis upper h subscript 0 baseline colon mu equals 12 against upper h subscript 1 baseline colon mu less-than 12 using a random sample of n equals 4 specimens. calculate the p-value if the observed statistic is x overbar equals 11.8. round your final answer to five decimal places (e.g. 98.76543).

In angle pqr find the measure of

Determine the lengths of the sides of the rectangle using the given area. give answers both exactly and approximately (to the nearest tenth). the area of the rectangle is 46 cm2.