Daniel is delivering gift boxes ordered for a fundraiser to his friends' houses on the same street. he used the number line shown, where each unit on the number line represents a house on the street, and daniel's house is placed at zero. he noted that max's house is three houses to the west of elena's house. elena's house is two houses to the east of jeremy's house. jeremy's house is five houses to the west to stefan's house. stefan's house is four houses to the east of daniel's house. daniel also noted that camilla's house is in the opposite location of max's house on the number line. where should daniel plot camilla's house?

step-by-step explanation:

just plug in each number for x and see which ones work and don't

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

2

step-by-step explanation: