The line plot shows the ages of participants in two group activities at a science center. What conclusion can be drawn about the data sets?

The median age of participants in group 2 is older than the median age of participants for group 1.

More 14- and 15-year olds are in group 2 than in group 1.

Group 1 participants have a greater range in age than group 2 participants.

The mean age of participants in group 2 is younger than the mean age of participants in group 1.

Two line plots one above the other, both are labeled from ten to twenty five by ones. The top line plot is labeled Age of participants dash group one and it has five Xs above fifteen, four Xs above fourteen, two Xs above thirteen, sixteen, and nineteen and one X above ten, twelve, seventeen, eighteen, and twenty. The bottom line plot is labeled Age of participants dash group two and it has four Xs above seventeen, three Xs above eighteen, two Xs above eleven, fifteen and sixteen and one X above twelve, thirteen, fourteen, ninteen, twenty, twenty three, and twenty five.

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

option: d is the correct answer.

d) none of the above.

step-by-step explanation:

clearly from the figure attached to the question we could see that there is no shape given. hence without any shape given in the figure and after rotation we can't obtained a square pyramid.

since, to obtain a image we need a proper figure of the pre-image so that it can be transformed.

hence, the correct answer is:

d) none of the above.

step-by-step explanation: