Ireally needi'll give five stars and make sure you show your work 1. suppose you pay $45.00 for an electronic game that has been discounted 15%. what is the original price of the electronic game to the nearest cent? show how you arrived at your solution, check your work, and clearly state your answer. 2. seiji and gavin both worked hard over the summer. together, they earned a total of $600. gavin earned $30 more than seiji. how much did each of them earn? a. write a system of two equations with two variables to model this problem. b. use substitution or the elimination method to solve the system. c. graph both equations. d. answer the question.

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