HELP FAST PLS The function f(x) = x was transformed to create a graph g(x) = f(x+1)+2.
Which statement describes how the graphs of fand g are related?
The graph of F is shifted to the right 1 unit and up 2 units to create the graph of g.
The graph of F is shifted to the right 1 unit and down 2 units to create the graph of g.
The graph of F is shifted to the left 1 unit and up 2 units to create the graph of g.
The graph of F is shifted to the left 1 unit and down 2 units to create the graph of g.

Abucket of paint has spilled on a tile floor. the paint flow can be expressed with the function p(t) = 6(t), where t represents time in minutes and p represents how far the paint is spreading. the flowing paint is creating a circular pattern on the tile. the area of the pattern can be expressed as a(p) = 3.14(p)^2 part a: find the area of the circle of spilled paint as a function of time, or a[p(t)]. show your work. part b: how large is the area of spilled paint after 8 minutes? you may use 3.14 to approximate pi in this problem.

Evaluate 8x2 + 9x − 1 2x3 + 3x2 − 2x dx. solution since the degree of the numerator is less than the degree of the denominator, we don't need to divide. we factor the denominator as 2x3 + 3x2 − 2x = x(2x2 + 3x − 2) = x(2x − 1)(x + 2). since the denominator has three distinct linear factors, the partial fraction decomposition of the integrand has the form† 8x2 + 9x − 1 x(2x − 1)(x + 2) = correct: your answer is correct. to determine the values of a, b, and c, we multiply both sides of this equation by the product of the denominators, x(2x − 1)(x + 2), obtaining 8x2 + 9x − 1 = a correct: your answer is correct. (x + 2) + bx(x + 2) + cx(2x − 1).

Find the vertex for the parabola given by the function ƒ(x) = −3x2 − 6x.