Function f(x) = ax^{2}+bx+c, where a, b, and c are some constants. define functions g and h as follows:
g(x) = f(x+ 1)−f(x)
h(x) = g(x+ 1)−g(x)
find algebraic form of h(x)
can anyone explain how to make it step by step?

An unknown number of kids and buses are getting assigned. when assigning 4 kids to each bus, there are 2 kids that aren't placed in a bus. when assigning 8 kids to each bus, there are 2 empty buses. how many total kids are there?

Using the quadratic formula find the zeros of the given polynomial -5x^2+3x-11

He graph of f(x) = |x| is stretched by a factor of 0.3 and translated down 4 units. which statement about the domain and range of each function is correct? the range of the transformed function and the parent function are both all real numbers greater than or equal to 4. the domain of the transformed function is all real numbers and is, therefore, different from that of the parent function. the range of the transformed function is all real numbers greater than or equal to 0 and is, therefore, different from that of the parent function. the domain of the transformed function and the parent function are both all real numbers.