On a clear day you can see about 27 miles from the observation deck of the empire state building in new york city. using the formula below, estimate the height in feet ,h, of the observation deck.

Step-by-step explanation:

Alright, lets get started.

Distance we can see from the building d is given as 27 miles.

We are asked to find height of the building h

The formula is given as

Plugging the value of d

Cross multiplying

Taking square root on both sides

So, the height of the observation desk is 1050 feet.   :   Answer

Hope it will help :)

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