The given expression symbol (do not simplify) and the evaluated expression (simplified)
1 answer:
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The graph of g(x) is the graph of f(x) translated 2 units to the right and 6 units up.
<h3>How does the graph of g(x) compare to the one of f(x)?</h3>
Here we have:
You can notice that if we take f(x), and we shift it 2 units to the right, we have:
g(x) = f(x - 2)
Then if we apply a shift upwards of 6 units, then we have:
g(x) = f(x - 2) + 3
Replacing f(x) by the cubic parent function, we have:
So we conclude that the graph of g(x) is the graph of f(x) translated 2 units to the right and 6 units up.
If you want to learn more about translations:
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The relationship between segment AC and segment A double prime C double prime is AC = A''C'' /2.
<h3>What is a Scale Factor ?</h3>The ratio by which the new image is bigger or smaller than the original image is the scale factor.
It is given that
Triangle A″B″C″ is formed using the translation (x + 0, y + 2)
and the dilation by a scale factor of 2 from the origin.
coordinate plane with triangle ABC at A (- 3, 3), B (1, - 3), and C (- 3, -3).
segment AC is equal to A''C'' over 2
Scale factor = 2
The coordinates are
A (- 3, 3), B (1, - 3), and c (- 3, -3) is translated using (x + 2, y + 0),
new coordinates
A'(- 1, 3), B'(3, - 3), and C'(- 1, -3).
The dilation by a scale factor of from the origin
A″ (-2, 6), B″ (6, -6) and C″(-2, -6)
By the distance formula
AB =
A''B'' = = 2
Therefore
AB = A''B'' /2
Similarly AC = A''C'' /2
The relationship between segment AC and segment A double prime C double prime is AC = A''C'' /2.
To know more about Scale Factor
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The answer would be 7/24
You can start by finding a common denominator. Since the lowest common denominator 3 and 8 have in common is 24 then that would be your denominator.
Then you can cross multiply 3*3= 9 and 2*8=16
16-9= 7
7/24
Then you are left with your answer:
is already in reduced terms.
Hope this helps! :3