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1 answer:
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Anwers:
1. line A
2. line D
3. line B
4. line C
Step-by-step explanation:
I think your question is missed of key information, allow me to add in and hope it will fit the original one.
Please have a look at the attached photo.
My answer:
Given the original function:
f(x) = 10x
and g(x) = a · 10x is the general from of all transformed functions from the above original function.
- p(x) = 4 · 10x
The graph of this function is stretched vertically => line A
- q(x) = –4 · 10x
The graph of this function is stretched vertically and is reflected through the x-asix => line D.
- r(x) = (1/4) x 10x
The graph of this function is compressed vertically => line B
- s(x) = (-1/4) x 10x
The graph of this function is compressed vertically and is reflected through the x-asix => line C
Hope it will find you well.
1. Geometric Sequence
2.
3.
Step-by-step explanation:
Given sequence is:
6, 18, 54, 162,....
Here
(a) Is this an arithmetic or geometric sequence?
We can see that the difference between the terms is not same so it cannot be an arithmetic sequence.
We have to check for common ratio (ratio between consecutive terms of a sequence) denoted by r
As the common ratio is same, the given sequence is a geometric sequence.
(b) How can you find the next number in the sequence?
Recursive formulas are used to find the next number in sequence using previous term
Recursive formula for a geometric sequence is given by:
In case of given sequence,
So to find the 5th term
(c) Give the rule you would use to find the 20th week.
In order to find the pushups for 20th week, explicit formul for sequence will be used.
The general form of explicit formula is given by:
Putting the values of a_1 and r
Hence,
1. Geometric Sequence
2.
3.
Keywords: Geometric sequence, common ratio
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