The graphs below have the same shape. what is the equation of the blue graph?

Option: C is the correct answer.

The equation of the blue graph i.e. function G(x) is:

               C.  

We are given a parent function F(x) as:

Now after looking at the graph of the transformed function G(x) we see that the graph of G(x) is obtained by shifting the graph of F(x) 3 units to the left and  1 units upward.

Hence, the equation of the transformed function G(x) is given by:

part 1 answer = 8

part 2 answer = 72

step-by-step explanation:

part 1 explanation = add all of the numbers, then divide by how many numbers you have. so, 200/25 = 8.

part 2 explanation = not gonna lie, this is hard to explain, so just google how to do it.

, and

for

step-by-step explanation:

we can analyze the pattern at which the terms increase. let us denote , , , so that we can call

note the following:

the pattern: to get the next term value, we just add the next term number (e.g. 1st, 2nd, to the previous term value (term values are the given numbers in the question, 1, 3, 6, 10, 15,

from , to get to , we add

from , to get to , we add

etc.

we need to form a recursive formula, a formula that has the next term as a function of the previous term. so a possible recursive formula can be

, and for