Martin purchased a condo below market value in 2001. He paid $92,500 for the condo even though the market value of the condo was much higher. In 2014, Martin transferred to another city for work and had to sell his condo. The market value of his condo increased over time, as shown in the graph below, where the y-axis represents the market value of the condo, in dollars, and the x-axis represents the number of years since 2001. The initial market value of the condo is $ the percent increase per year of the market value of the condo is __%. The interval on which Martin owned the condo is _≤ x ≤_

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step-by-step explanation:

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