The graph of g(x) is a reflection and translation of f(x) = ³√x.
1 answer:
The function g(x) will be given as g(x) = – ∛(x – 1). Then the correct option is D.
The complete question is attached below.
<h3>What is a transformation of geometry?</h3>A spatial transformation is each mapping of feature shapes to itself, and it maintains some spatial correlation between figures.
Reflection does not change the size and shape of the geometry.
Translation does not change the size and shape of the geometry.
The function f(x) is given below.
f(x) = ∛x
Then the function of the g(x) will be
g(x) = – ∛(x – 1)
Then the correct option is D.
More about the transformation of geometry link is given below.
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Line 1 and Line 4 are parallel lines
Solution:
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y = mx + c
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<u>To find the slope of each line:</u>
Line 1:
Slope
Line 2:
Add 7 on both sides, we get
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Line 3:
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Line 4:
Subtract x from both sides, we get
Multiply by on both sides, we get
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<em>Two lines are parallel, if their slopes are equal.</em>
From the above slopes,
Therefore Line 1 and Line 4 are parallel lines.