The graph of the parent function f(x) = |x| is dashed and the graph of the transformed function g(x) = a|x| is solid. use the slider to change the value of a. how does changing the value of a affect the graph? when 0 < a < 1, the graph the graph of the parent function. when a = 1, the graph the graph of the parent function. when a > 1, the graph the graph of the parent function.

1st part: gets wider

2nd: does not change

3rd: gets narrower

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hope this : )

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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

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