7,434,000 is the correct answer
If we know the concepts of transformations and <em>horizontal</em> translation and that f(x) = √x and k = - 2, then the <em>transformed</em> function is g(x) = √(x + 2).
<h3>How to determine the transformed function in terms of its parent function</h3>
The transformation of functions are operations which modify the relationship between input and outputs in a function. The <em>parent</em> function represents a <em>canonical square root</em> function and the <em>transformed</em> function is the consequence of applying a <em>horizontal</em> translation.
This kind of transformation is defined by the following expression:
g(x) = f(x - k) (1)
Where k represents a <em>rightward</em> translation for k > 0.
If we know that f(x) = √x and k = - 2, then the <em>transformed</em> function is g(x) = √(x + 2).
To learn more on transformations: brainly.com/question/11709244
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Answer:
True.
Step-by-step explanation:
We can represent an odd number by 2n + 1 where n = 0, 1, 2, 3, 5 etc.
Substituting:
a^2 + a = (2n + 1)^2 + 2n + 1
= 4n^2 + 4n + 1 + 2n + 1
= 4n^2 + 6n + 2
= 2(2n^2 + 3n + 1)
which is even because any integer multiplied by an even number is even.
This is also true if we use a negative odd integer:
We have 4n^2 + 4n + 1 - 1 - 2n
= 4n^2 + 2n
= 2(2n^2 + n(.