Which of the following describes how to translate the graph y=|x| to obtain the graph of y=|x+1| + 1?

shift 1 unit left and 1 unit down

shift 1 unit left and 1 unit up

shift 1 unit right and 1 unit down

shift 1 unit right and 1 unit up

Explain how you can use the triangle sum theorem to find the measures of the angles in an equilateral triangle. the angles of an equilateral triangle are . let the measure of each angle be x. then, by the triangle sum theorem, x + x + x = 3x = ° solving for x gives x = °

Browning labs is testing a new growth inhibitor for a certain type of bacteria. the bacteria naturally grows exponentially each hour at a rate of 6.2%. the researchers know that the inhibitor will make the growth rate of the bacteria less than or equal to its natural growth rate. the sample currently contains 100 bacteria.the container holding the sample can hold only 300 bacteria, after which the sample will no longer grow. however, the researchers are increasing the size of the container at a constant rate allowing the container to hold 100 more bacteria each hour. they would like to determine the possible number of bacteria in the container over time.create a system of inequalities to model the situation above, and use it to determine how many of the solutions are viable.

Asap describe the transformations required to obtain the graph of the function f(x) from the graph of the function g(x). f(x)=-5.8sin x. g(x)=sin x. a: vertical stretch by a factor of 5.8, reflection across y-axis. b: vertical stretch by a factor of 5.8,reflection across x-axis. c: horizontal stretch by a factor of 5.8, reflection across x-axis. d: horizontal stretch by a factor of 5.8 reflection across y-axis.