PLEASE HELP QUICK
Find the area of the rectangle.
2x + 4
4x - 2

8x² + 12x – 8

Step-by-step explanation:

From the question given above, the following were obtained:

Length (L) = 2x + 4

Breadth (B) = 4x – 2

Area (A) =..?

The area of a rectangle is given by:

Area (A) = Length (L) × Breadth (B)

A = L × B

Thus with the above formula, we can obtain the area of the rectangle as follow:

Length (L) = 2x + 4

Breadth (B) = 4x – 2

Area (A) =..?

A = L × B

A = (2x + 4) (4x – 2)

Expand

A = 2x(4x – 2) + 4(4x – 2)

A = 8x² – 4x + 16x – 8

A = 8x² + 12x – 8

Therefore, the area of the rectangle is 8x² + 12x – 8

a reflection across the x-axis , followed by the by a reflection across the y-axis , and then a scale dilation of 0.5 .

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