3-2 Short Paper: Euclid and His Elements Assignment
Task: Submit to complete this assignment
Write a short paper on the history of Euclid's Elements. As it was written during the third century BCE, how has it survived? State Euclid's fifth postulate and explain why mathematicians spent centuries trying to prove it. How are the ideas in Euclid's Elements prevalent today? References must be included. Include three or more references and use proper APA formatting. The references should be from primary or secondary scholarly sources with a maximum of one source in another format (article in an encyclopedia or chapter in a textbook, for example). You can use the History Library Guide to research scholarly articles.

b.an increase in a causes b to decrease

b 1: 45 am

step-by-step explanation:

its that because if it was in the pm it would be 1345

answer: a

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