An open box with a square base is required to have a volume of 12 cubic feet. The amount of material A can be expressed as a function of the length x of a side of the square base: A(x) = x^2 + 48/x a) Use your calculator to graph the function. You'll need to adjust the window (does it make sense to have negative x-values ?). What is the minimum amount of material A that is required to make this box?
b) What is the length of the side of the square base when the amount of material is minimum?

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a, b, c, d are correct.

step-by-step explanation:

we have g(x) = 3 and are required to find which option is a translation of g(x).

now, 'translation' is a transformation which means to shift the function in any direction and the general form of translation is g(x) + k, where k is any real number.

so, according to the options we see that all are correct as they satisfy the general form of translation.

also, it can be seen from the graph below that the function g(x) = 3 is shifted from its position in all the four options.

answer:   (s+1)(s+4)

step-by-step explanation:

factor s2+5s+4

s2+5s+4

=(s+1)(s+4)