Which of the following points must lie on the graph?

Explanation:

The point (0,4) is on the f(x) curve. This means that when x = 0, f(x) = 4. Or f(0) = 4.

If we plugged x = 4 into f(x-4), then it becomes f(x-4) = f(4-4) = f(0).

g(x) = -f(x-4) + 1

g(4) = -f(4-4) + 1 ... plug in x = 4

g(4) = -f(0) + 1

g(4) = -4 + 1 ... replace f(0) with 4

g(4) = -3

So we can see that the input x = 4 leads to the output g(x) = -3.

The point (4,-3) is on the g(x) curve.

its a straight line parallel to the time axis

the smallest possible measurement of the width is 14 feet

step-by-step explanation:

let's assume length of parallelogram is 'l'

width of parallelogram is 'w'

the perimeter of a parallelogram must be no less than 40 feet

so, we get

we are given

length of parallelogram is 6 feet

so,

l=6

we can plug it

now, we can solve for w

subtract both sides by 12

divide both sides by 2

and we get

so,

the smallest possible measurement of the width is 14 feet