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Find the area of the shape shown below.

28 units.

Step-by-step explanation:

Act like the shape is just a normal rectangle, because thats easy to do. If it was a full rectangle the length would be 8 and the width would be 4. The formula for finding area of a rectangle is length times width so 8x4 is 32. Now, to find the actual area of the shape, you have to subtract a bit. (I'll add a picture to better explain what I am meaning) You imagine see a mini rectange in the corner with a length of 4 and a width of 2. The area for that is 8. But, only half of that imaginary rectangle is in the actual shape so subtract half of that shape (4) from the original 32 and you get 28. The area is 28 units.

21/58.

hope to be marked brainliest

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