Nos Bedut 6B Geometry 2020-2021
jaylen holliday &
Homework: Patterns and Inductive Reasoning Section 2.2
Score: 0 of 1 pt
2 of 20 (1 complete)
HW
2.2.1
Identify a pattern in the given list of numbers. Then use this pattern
1,3,9, 27, 81.
find the next number. (More than one pattern might exist, so it is possible that there is more than one correct answer)
The next number is
ranswer in the answer box and then click Check Answer

think about it deeply and passionately about this property

i am sorry

3; 9 is 8 to -4

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