Analyze the solution shown. 1. –|–x| = 7: given 2. |–x| = –7: multiplication property of equality 3. –x = 7 or –x = –7: definition of absolute value 4. x = –7 or x = 7: multiplication property of equality 5. check: –|–(–7)| = 7, –7 ≠ 7 –|–7| = 7, 7 = 7 negative times negative is positive. determine the flaws in the solution. the multiplication property of equality in step 2 should result in |x| = 7. the definition of absolute value is applied incorrectly. there is no solution. the reason in step 4 should be the addition property of equality. the multiplication property of equality in step 4 should result in only x = 7. in evaluating the solutions, the absolute value should be simplified first to get a positive value.

In evaluating the solutions, the absolute value should be simplified first to get a positive value.

The definition of absolute value is applied incorrectly. There is no solution.

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

pls refer ro the top for answer