Assuming there are no reflections or dilations,
1 answer:
Answer:
Step-by-step explanation:
We can see that this graph looks something like the graph of:
f(x) = 1/x^2
But the asymptotes of 1/x^2 are at x = 0, and in this case we can see that the asymptotes are near x = -3.
This may mean that the graph has been horizontally shifted 3 units to the left.
A general way to write an horizontal shift of N units is:
g(x) = f(x + N)
if N is positive, then the shift is to the left, if N is negative, then the shift is to the right.
In this case, we will have;
g(x) = f(x + 3)
And f(x) = 1/x^2
then:
g(x) = 1/(x + 3)^2
Graphing that, we get the graph shown below, that is almost the same as the graph in the image.
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The 20th term of the arithmetic sequence is 122.
<h3>What is arithmetic sequence?</h3>nth term = a1 + d(n - 1) so here:
20th term = -30 + 8(20 - 1)
- 30 + 152
= 122.
An ordered group of numbers with a shared difference between each succeeding word is known as an arithmetic sequence. For instance, the common difference in the arithmetic series 3, 9, 15, 21, and 27 is 6.
Arithmetic sequences are sequences containing these patterns. The distance between succeeding terms in an arithmetic series is always the same. The difference between consecutive words is always two, hence the sequence 3, 5, 7, 9... is arithmetic.
An explicit formula that states a = d (n - 1) + c, where d is the common difference between succeeding words, and c = a1, can be used to establish an arithmetic sequence.
To learn more about arithmetic sequence from the given link:
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