The Smiths spend 5% of their budget on entertainment. Their total budget this year is $2,000 more than last year, and this year they plan to spend $2,150 on entertainment. What was their total budget last year?

Total budget last year was $41000

Step-by-step explanation:

The Smiths spend 5% of the total budget on entertainment.

Amount on entertainment =

This year they planned to spend the amount on entertainment = $2150

So, 2150 = Total budget ×

Total budget this year =

                                     = $43000

Since, Total budget this year = Total budget last year + $2000  

$43000 = Total budget last year + $2000  

Total budget last year = $43000 - $2000

                                     = $41000

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

nswer: a   y-axis

step-by-step explanation: