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:
Side 1 = 8, side 2=6, side 3=3 1/3 or 10/3
Step-by-step explanation:
We can set up a proportion comparing the sides of the original triangle to the new triangle.
The original triangle has sides 12, 9, and 5. The new triangle has sides 8, e, and f (use whatever letters you like, it doesn't matter, but for me, e is the side with the middle length and f is the side with the shortest length.
We can write 3 ratios, with the length of the new triangle over the length of the old triangle.
8/12 e/9 f/5
To figure out e and f, put each ratio equal to 8/12.
<u>8 </u> = <u>e</u> Then multiply both sides of the equation by 9 and get <u>72 </u> = e, 6=e.
12 9 12
<u>8 </u> = <u>f </u> Then multiply both sides of the equation by 9 and get <u>40 </u> = f, <u>10</u>=f.
12 5 12 3
10/3 can be rewritten as 3 1/3.
It is 54 for 1 and 2 is 2520 you multply the lenght by the whith and divide by 2
