Two the absolute value is however many numbers away from zero any number is.
Given:
The function is:

This function is stretched by a factor of 9 to g(x).
To find:
The equation of function function g(x).
Solution:
The vertical stretch is defined as:
...(i)
If
, then the function f(x) compressed vertically by factor k.
If
, then the function f(x) stretched vertically by factor k.
The given function f(x) is stretched by a factor of 9 to g(x). So the value of k is 9.
Substituting
in (i), we get

![[\because f(x)=x^2]](https://tex.z-dn.net/?f=%5B%5Cbecause%20f%28x%29%3Dx%5E2%5D)
Therefore, the required function is
.
Answer:
<u>Recursive:</u>

<u>Explicit:</u>

Explanation:
<u>1. Sequence:</u>

<u>2. Recursive formula</u>
The recursive formula permits to calculate the value of the nth term in the sequence using the (n-1)th term in the sequence.

<u>3. Explicit formula</u>
The explicit formula permits to calculate any value of a term in the sequence:
