How is the graph of g(x)=-(3x)³ related to the graph of
f(x)=x³?
A. The graph of g(x) is vertical compression of
the graph f(x) by a factor of 3 and a
reflection across the x-axis.
B. The graph of g(x) is horizontal compression
of the graph f(x) by a factor of 3 and a
reflection across the y-axis.
1
C. The graph of g(x) is horizontal compression
of the graph f(x) by a factor of and a
reflection across the x-axis.
3

Question

16-07-2022
Mathematics

contestada

How is the graph of g(x)=-(3x)³ related to the graph of
f(x)=x³?
A. The graph of g(x) is vertical compression of
the graph f(x) by a factor of 3 and a
reflection across the x-axis.
B. The graph of g(x) is horizontal compression
of the graph f(x) by a factor of 3 and a
reflection across the y-axis.
1
C. The graph of g(x) is horizontal compression
of the graph f(x) by a factor of and a
reflection across the x-axis.
3

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MrRoyal MrRoyal · Answer 1 · 2022-07-18T19:52:31+02:00

the transformation from f(x) to g(x) is (c) the graph of g(x) is horizontal compression of the graph f(x) by a factor of 1/3 and a reflection across the x-axis.

How to compare both functions?

The functions are given as:

f(x) =x^3

g(x) = -(3x)^3

The minus sign in g(x) = -(3x)^3 implies that the function f(x) is reflected across the x-axis

The 3 in g(x) = -(3x)^3 implies that the function f(x) is stretched horizontally by 1/3

Hence, the transformation from f(x) to g(x) is (c)