If f(x) = x3, which of the following describes the graph of f(x − 3)?
2 answers:
Hello:
The graph of f(x − 3) is a horizontal shift of The graph f(x) =x^3 of<span> three units to the right
</span>The graph of f(x) =x^3 color red
The graph of f(x − 3) color bleue
The graph of f(x − 3) is a horizontal shift of The graph f(x) =x^3 of<span> three units to the right
</span>The graph of f(x) =x^3 color red
The graph of f(x − 3) color bleue
Answer: The answer is (C) The graph of f(x − 3) is a horizontal shift of f(x) = x³ three units to the right.
Step-by-step explanation: We are to describe the graph of f(x-3) if f(x) = x³. We are drawn the graphs of f(x) and f(x-3) in the attached figure.
We can easily see that the graph of f(x-3) is shifted horizontally three units to the right from the graph of f(x).
Therefore, the correct option is (C) The graph of f(x − 3) is a horizontal shift of f(x) = x³ three units to the right.
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Answer:
The value of x is 21.
Step-by-step explanation:
Since this is a right angle triangle, you can apply Pythagoras theorem, side² + side² = hypo² :
(x + 3)² + 10² = (x + 5)²
x² + 6x + 9 + 100 = x² + 10x + 25
x² + 6x + 109 - x² - 10x - 25 = 0
-4x + 84 = 0
-4x = -84
4x = 84
x = 84 ÷ 4
x = 21 units
