The relationship of the graph g(x) = (x − 2)^3 + 6 compare to the parent function of f(x) = x^3 is that g(x) is shifted 2 units to the right and 6 units up.
<h3>Translation of coordinates</h3>
Translations is a transformation technique that changes the position of an object from one point on the plane to another.
Given the function below
g(x) = (x − 2)^3 + 6
The function compared to f(x) = x^3, shows a translation of f(x) by 2 unit to the right along the horizontal and vertical translation of the function 6 units up
Hence the relationship of the graph g(x) = (x − 2)^3 + 6 compare to the parent function of f(x) = x^3 is that g(x) is shifted 2 units to the right and 6 units up.
Learn more on translation here: brainly.com/question/12861087
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Answer:
The age of the spear head to the nearest year is 1845 years
Step-by-step explanation:
We know that
half life time of C-14 is 5730 years
so, h=5730
we can use formula

now, we can plug value

an archaeologist in turkey discovers a spear head that contains 80% of its original amount of C-14
so,

we can plug it

now, we can solve for t




So,
The age of the spear head to the nearest year is 1845 years
Answer:
Step-by-step explanation:
3x^3(1/9x^2-6+2x)
This question is not clear, we can not different between the numerator or denominator of some variable.
3x^3×1/9x^2-3x^3×-6+3x^3×2x
1/3x^(3+2)-18x^3+6x^(3+1)
1/3x^5-18x^3+6x^4