3. follow your teacher’s directions to select ten random numbers between 1 and 100. for each random number, start at the upper left cell with a segment value of 2, and count down and
to the right the number of cells based on the random number selected. the number in the cell represents the length of a randomly selected segment.
a. on a number line, graph the lengths of the corresponding segments on the worksheet.
b. find the mean and standard deviation of the lengths of the segments in your sample. mark the mean length on your graph from part (a).

question:

could we have options?

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