Describe how to obtain the graph of g from the graph of f(x) =

Problem 7

Consider the general template

g(x) = a*sqrt(x-h) + k

and compare it to the general parent function

f(x) = sqrt(x)

We have the following variables: a, h and k

They are defined as such:

For this problem, we have

Since g(x) = sqrt(x+4)+3 is the same as g(x) = 1*sqrt(x - (-4)) + 3

With a = 1, we know that the curve moves upward. Compared to the parent graph y = sqrt(x), which also goes upward, no reflection has been done over the x axis.

The h = -4 means we shift 4 units to the left

The k = 3 means we shift 3 units up

Problem 8

We'll use the ideas mentioned in problem 7. They'll also be used for problems 9 and 10 as well.

For problem 8, we have

Problem 9

This time we have

Problem 10

So far, all of the 'a' values have been positive 1. This means that there hasn't been any reflection or vertical stretching going on.

This time we have a = -1 instead of a = 1.

So we will reflect over the x axis along with the shiftings similar to the ones that occurred with the previous problems.

80π/3 or about 83.775

step-by-step explanation:

since a cone is 1/3 of a cylinder, we need to find the base's area. since area = πr^2, we get 16π. then, multiplying this by 5, we get 80π. dividing by 3, since the cone's volume is 1/3 of that of a cylinder's, we get 80π/3.

hope this !

i found two solutions,   n = 2 • ± √3 = ± 3.4641

step-by-step explanation: