If f(x) = x², which function is the result of shifting f(x) 3 units left and 2 units down? (1) g(x) = (x + 2)² - 3 (3) j(x) = (x + 3)2 - 2 (2) h(x) = (x-2)² +3 (4) k(x) = (x3)2 + 2

The rate of change of an autocatalytic chemical reaction is kQxkx2 where Q is the amount of the original substance, x is the amount of substance formed, and k is a constant of proportionality. Factor the expression.

How do you find the domain for the composition of two functions, fg ?

Describe the end behavior of each polynomial. (a) y=x38x2+2x15 End behavior: y as x y as x (b) y=2x4+12x+100 End behavior: y as x y as x