Brandon says that the absolute value of a number and the opposite of a number is the same thing. Is Brandon correct? Use examples to help you explain.

No, Brandon is not correct in making that statement

Step-by-step explanation:

No, Brandon is not correct in making that statement. The absolute value of a number is the total distance between that number and 0. Brandon most likely states this because the absolute value of a negative number such as -5 would actually be the opposite, which is 5. This is not true for the absolute value of a positive such as 5, which instead is actually just 5. Meaning that the absolute value of a positive integer is the same value and NOT the opposite.

i wish i could u

step-by-step explanation:

i wish i could u

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