Grant is making muffins for a reunion. The recipe for blueberry muffins makes 12 muffins. The recipe for bran muffins makes 18 muffins. He wants to make the same number of each kind of muffin using only full recipes of each. Question 1 Part A What is the least number of each type of muffin Grant can make? Enter the correct answer in the box.

To solve this problem, we need to find the least common multiple between 12 and 18.

This is written as:

LCM(12, 18)

And to find this, you can calculate:

LCM(12, 18) = 12*18/GCF(12,18)

Where GCF is the greatest common factor.

To find the greatest common factor let's factorize 12 and 18 in prime numbers:

12 = 2*2*3

18 = 2*3*3

now we can write them as:

12 = 2*(2*3) = 2*6

18 = (2*3)*3 = 6*3

Then the greatest common factor between 12 and 18 is 6.

Now the LCM will be:

12*18/6 = 2*18 = 36.

Then he must make 36 muffins of each type.

This means that he needs to do:

36/12 = 3 batches of blueberry muffins

36/18 = 2 batches of bran muffins.

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