8x+y=300the elevator in a trade center is moving down from a height of 300 feet. the equation above can be used to model the height of an elevator, y, above the lobby. where x is the time in seconds. if the ordered pair (x, y) satisfies the equation, what does (37.5,0) mean? a. an elevator stops at a height of 37.5 b. the elevator is moving down at a constant speed of 37.5 feet/seconds. c. the elevator moves 37.5 feet down from the lobby. d. the elevator takes 37.5 seconds to move down to the lobby.

sine

step-by-step explanation:

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