Nancy knows that the perimeter of her garden is 28 feet, and the length is 8 feet. she forgot to measure the width, but was able to solve for it by subtracting 16 from 28, and then dividing by 2. which of the equations below can be solved with these steps?

W = (P - 2L)/2 = (28- 2*8)/2 = 6

Where W is the width, P is the perimeter and L is the length of the garden.

Step-by-step explanation:

Since the equations are not given, i will try to come up with the similar equation than the ne that was the correct option in this exercise.

You can obtain the perimeter of a rectangle by summing the length of its four sides. Thus, the perimeter of the garden, lets call it P, is 2W + 2L, where W denotes the width and L the length. Since Nancy knows the perimeter, in order to calculate the width she can substract from it 2L (which is also known), and divide by 2 to obtain W, thus

W = (P - 2L)/2

If we reemplace P by 28 and L by 8, we obtain

W = (28-8*2)/2 = (28-16)/2 ) = 12/2 = 6.

let's cover over the formula of the vertex:

y = a(x – h)^2 + k

in this formula, (h,k) are the vertex, always remember that the positive or negative value of the vertex is based on the sign it has.

for example, if the vertex is -3,-6 then both the x and y value would have the positive sign attached to it and if it were a positive x and y value, then a negative sign would be attached to it.

with that being said, for our problem the x value is a positive one so we are looking for a number with a negative sign next to it, in this case the first and second choice.

however, for the first answer choice it isn't quite part of the formula so we know that the answer choice correctly displays the x value.

to confirm, we can see if the -1 fits correctly with the second answer choice, and as mentioned above a negative number will have a positive sign attached to it. so, for our problem we can see that -1 has been changed to +1, so we can confirm that the second answer choice is correct.

hence, our final answer is y=(x - 1)^2 + 1