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Sergio039 [100]
2 years ago
6

Select the correct answer. Which function is represented in this graph? A. f(x)=|x-1|-5

Mathematics
1 answer:
natka813 [3]2 years ago
5 0

The equation is f(x) = |x+5| - 1 which is shown in the graph after applying the transformation to the parent function f(x) = |x| option (C) is correct.

<h3>What is a function?</h3>

It is defined as a special type of relationship, and they have a predefined domain and range according to the function every value in the domain is related to exactly one value in the range.

We have a graph of a function is shown in the picture:

The graph is representing a mod function:

f(x) = |x|

By applying transformation:

f(x) → f(x) - 1

f(x) = |x| - 1

The function will shift down by 1 unit.

x → x + 5

f(x) = |x+5| - 1

Thus, the equation is f(x) = |x+5| - 1 which is shown in the graph after applying the transformation to the parent function f(x) = |x| option (C) is correct.

Learn more about the function here:

brainly.com/question/5245372

#SPJ1

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For any number n&gt;1 is |(3/4+2/3i)^n|
sasho [114]

The for any number n>1 is |(3/4+2/3i)^n| greater than 1 after simplifying the complex number.

<h3>What is a complex number?</h3>

It is defined as the number which can be written as x+iy where x is the real number or real part of the complex number and y is the imaginary part of the complex number and i is the iota which is nothing but a square root of -1.

We have a complex number:

= \rm |(\dfrac{2}{3}+\dfrac{3}{4}i)^n|\\\\\\= \rm |(\dfrac{8+9i}{12})^n|\\\\\\= \rm |\dfrac{(8+9i)^n}{12^n}|\\\\

Here n>1

Plug n = 2

= \rm |\dfrac{(8+9i)^2}{12^2}|\\\\

= 145/144

= 1.0069

Which is greater than 1.

Thus, the for any number n>1 is |(3/4+2/3i)^n| greater than 1 after simplifying the complex number.

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