Two functions are given below: f(x) and h(x). state the axis of symmetry for each function and explain how to find it. f(x) = 3(x + 4)2 + 1

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step-by-step explanation:

f(x): x = -4

h(x): x = 1

step-by-step explanation:

the axis of symmetry is another way of saying the line where both sides of the line are the exact same. in other words, we're trying to find the x coordinate of the vertex, because x = that vertex is a vertical line which serves as the axis of symmetry.

something we can notice with the first function f(x) is it's in a form where we can easily tell it's vertex. (f(x) = slope(x+(-xvertex))^2+yvertex)

so the x vertex is -4, and the y vertex is 1.

now that we have the x vertex, we can know that the axis of symmetry is x = -4.

h(x) is even easier, as there aren't even any numbers involved. we see that the vertex is (1 , -3), so the axis of symmetry is x = 1.

whole numbers.

step-by-step explanation:

we are given the average monthly rainfall (in millimeters) model r(m) for the years 1900-2009 as a function of the month number m.

as we can see m is taken for the number of months for years 1900-2009.

we know that number of months can't be a negative number or decimal number or a fraction.

so, the number of months could be only positive whole numbers.

therefore, whole numbers is more appropriate for the domain of r.