How do the graphs of y=1/x and y=5/(x+6 )compare
1 answer:
Answer:
Both graphs have the same shape but the following differences:
By looking at the graph we can se that the graph of y=5(x+6) is translated six units to the left with respect to the graph of y=1/x.
Also, the graph of y=5(x+6) grows or decay much faster than the graph of y=1/x, because the graph is enlarged by 5 units.
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The increasing order of the complex numbers is (√2 - i)⁶ < (√2 - √2i)⁸ = (√3 - i)⁶ = (-1 + √3i)¹² < (√3 - √3i)⁴.
<h3>Absolute values of the complex numbers</h3>The absolute values of the complex numbers are determined as follows;
(sqrt3-sqrt3i)^4 = (√3 - √3i)⁴
(-1+sqrt3i)^12 = (-1 + √3i)¹²
(sqrt 3-i)^6 = (√3 - i)⁶
(sqrt2-sqrt2i)^8 = (√2 - √2i)⁸
(sqrt2-i)^6 = (√2 - i)⁶
Increasing order of the complex numbers;
(√2 - i)⁶ < (√2 - √2i)⁸ = (√3 - i)⁶ = (-1 + √3i)¹² < (√3 - √3i)⁴.
Learn more about complex numbers here: brainly.com/question/10662770
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