Which transformation reflects f(x)=(x-1)² over the y-axis?
1 answer:
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Answer:
= - 3n
Step-by-step explanation:
There is a common difference between consecutive terms, that is
- 6 - (- 3) = - 9 - (- 6) = - 12 - (- 9) = - 3
This indicate the sequence is arithmetic with n th term
= a₁ + (n - 1)d
where a₁ is the first term and d the common difference
Here a₁ = - 3 and d = - 3 , thus
= - 3 - 3(n - 1) = - 3 - 3n + 3 = - 3n
The n th term is - 3n
We know that , where
and
are the two numbers.
We know that one of the numbers, , is equal to
.
We need to find the value of . To do so, we must isolate it. In this case, we can isolate
by dividing both sides of the equation by
.
Now, let's check our answer. If we multiply the two factors together, we should get a product of .