Sarah would like to hire a clown for her daughter's birthday party. Clown A is offering his services for an initial fee of $115 in addition to $15 per hour. Clown B is offering her services for an initial $213 fee in addition to $9 per hour. When will the two clowns charge the same amount of money? Use a table to estimate the solution. Graph the solution on a graphing calculator to determine the exact solution and enter it. If necessary, round your answer to the nearest ten-thousandth.

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

step-by-step explanation:

infinity is the answer