Suppose that g(x)=f(x+2) which statement best compares the graph of g(x) with the graph of f(x) a. the graph of g(x) is the graph of f(x) shifted 2 units to the right b thr graph of g(x) is the graph of f(x) shifted 2 units down c the graph of g(x) is the graph of f(x) shifted 2 units up d the graph of g (x) is the graph of f(x) shifted 2 units to the left

Last option is the correct

The  graph of G (x) is the graph of f(x) shifted 2 units to the left

Step-by-step explanation:

We know that for any parent function f(x) the graph of the transformed function:

is a shift of the the parent function f(x) either to the left or the right depending on the value of a.

if a>0 then the shift is 'a' units to the left

and if a<0 then the shift is 'a' units to the right.

Here we have transformed function G(x) as:

i.e. a=2>0.

Hence, the  graph of G (x) is the graph of f(x) shifted 2 units to the left.

In order to solve for the volume, we have to form a couple equations from the given:

w = 4h - "The width of the sandbox is 4 times its height."
l = 2h + 8 - "The length of the sandbox os 8 ft more than 2 times its height."
w * l * h = 40 - "You have ft^3 of sand available to fill this sandbox"

Alter the values of 'w' and 'l' in 'w * l * h = 40':
(4h) * (2h + 8) * h = 40
Multiply:
(8h^2 + 32h) * h = 40
8h^3 + 32h^2 = 40

Divide all the numbers by eight:
h^3 + 4h^2 = 5
Factor the h^2 out:
h^2(h + 4) = 5
h = 1 (This looks like the only possible number)

We now know that h = 1.
Recall the equations we formed at the start.
w = 4(1) = 4
l = 2(1) + 8 = 10

The height is 1 foot, the width is 4 feet, and the length is 10 feet.