The peak of the mountain is 3 miles above where the chair lift drops skiers
off. The chair lift travels 2 miles up from
the bottom of the mountain. If the point
where the lift drops the skiers off is
represented by zero, what integer would
represent the bottom of the mountain?
What integer would represent the top of
che mountain?

Bottom= -2

Top= 3

Step-by-step explanation:

Since the bottom is 2 miles below the chair lift, you'd do 0-2 to get -2.

If the chair lift is 0 and we know the peak is 3 miles above it, you would add 3+0 to get 3.

all it means is function 3

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