Which translation maps the graph of the function f(x) = x² onto the function g(x) = x2 + 2x + 6?

left 1 unit, up 5 units
right 1 unit, up 5 units
left 2 units, up 2 units
right 2 units, up 2 units

You are on a cycling trip around europe with friends. you check the weather forecast for the first week. these are the temperatures for the week. sun mon tues wed thurs fri sat 16°c 20°c 24°c 28°c 28°c 23°c 15°c what is the mean temperature forecast for the week?

Set $r$ is a set of rectangles such that (1) only the grid points shown here are used as vertices, (2) all sides are vertical or horizontal and (3) no two rectangles in the set are congruent. if $r$ contains the maximum possible number of rectangles given these conditions, what fraction of the rectangles in set $r$ are squares? express your answer as a common fraction.

Two consecutive negative integers have a product of 30. what are the integers?