Pulling a sock from a drawer, replacing the sock, and pulling another sock from a drawer at random is an example of

This is an example of Independent Events.

Step-by-step explanation:

Independent events of probability are not affected by previous events.  This means that for each event, your probability is the same as before no matter the outcome of the previous events.  So, if you pull a sock from a drawer and replace it, you still have the same probability of getting that sock, or any other sock, from the drawer as you did before.  For example, if there are 10 black socks and 8 white socks, there are a total of 18 socks.  You have a 8/18 (or 4/9) chance of getting a white sock.  If you replace it, you will still have a 4/9 chance of getting a white sock again.  

9

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