1. what is the area of the triangle on the coordinate grid? a.16 units² b. 16.5 units² c. 22 units d. 2 units² 2. what is the area of the polygon on the coordinate grid? a. 40 units² b. 25 units² c. 7.5 units² d. 32.5 units²

2) D. 32.6 units^2

1) A. 16 units^2

Step-by-step explanation:

2) First draw a rectangle around your figure.

Next, find the area of the rectangle you just made around your shape.

Then, you will see 2 small triangles that are inside of your rectangle but not part of your shape. You will use the triangle formula . Your anwser for the triangle in the top will be 1.5. Then the one in the bottom will be 6.

The last step for this is minus 1.5 and 6 from 40 (the total area of rectangle).

This will leave you with 32.5 units^2.

1) you do the same exact thing. You should get 48 as the area of the whole rectangle and 8 and 24 for the small traingles in the rectangle. When you subtract 8 and 24 from 48 you get 16 units^2.

Hope This Helps!

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

the 3rd on is correct

step-by-step explanation: