What is the function g(x) created from f(x) = x2 by moving the graph left 2 units, vertically stretching it by a factor of 3, and shifting the graph up 5 units?
A) g(x) = 2(x + 3)2 + 5
B) g(x) = 3(x − 2)2 + 5
C) g(x) = 3(x + 2)2 + 5
D) g(x) = 5(x + 3)2 + 2

The magnitude, m, of an earthquake is defined to be m=log l/s, where i is the intensity of the earthquake (measured by the amplitude of the seismograph wave) and s is the intensity of a “standard” earthquake, which is barely detectable. what is the magnitude of an earthquake that is 1,000 times more intense than a standard earthquake? use a calculator. round your answer to the nearest tenth.

Michelle and julie work at a catering company. they need to bake 264 cookies for a birthday party that starts in a little over an hour and a half. each tube of cookie dough claims to make 36 cookies, but michelle eats about 1/5 of every tube and julie makes cookies that are 1.5 times as large as the recommended cookie size.it takes about 8 minutes to bake a container of cookies, but since julie's cookies are larger, they take 12 minutes to bake. a. how many tubes should each girl plan to bake? how long does each girl use the oven? b. explain your solution process what did you make? c. what assumptions did you make?

How many sides does a regular polygon have if each exterior angle measure is 45 degrees explain your answer, i really don't understand this.