Each statement describes a transformation of the graph of f(x) = x. Which statement correctly describes the graph of g(x) if g(x
) = f(6x)?
2 answers:
Answer: C. It is the graph of f(x) shrunk horizontally by a factor of 6.
Step-by-step explanation:
When we multiply a function’s input by a positive constant, we get a function whose graph is stretched or compressed horizontally in relation to the graph of the original function. If the constant is between 0 and 1, we get a horizontal stretch; if the constant is greater than 1, we get a horizontal compression of the function.
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Step-by-step explanation:
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For this case we must solve each of the equations proposed:
A)
We apply distributive property to the terms within parentheses:
Subtracting 6 from both sides of the equation we have:
Dividing between -12 on both sides of the equation:
B)
We apply distributive property to the terms within parentheses:
We add 5m on both sides of the equation:
Dividing between 2 on both sides of the equation:
C)
We apply distributive property to the terms within parentheses:
We subtract 14 from both sides of the equation:
Dividing between -7 on both sides of the equation:
D) -
We apply distributive property to the terms within parentheses:
We add 28 to both sides of the equation:
Dividing between -21 on both sides of the equation:
Answer: