Give the equation of the function g whose graph is described.
-The graph of $f ( x ) = x ^ { 3 } - 3 x ^ { 2 } + 2 x + 1$ is reflected across the $y$-axis .
A) $g ( x ) = - x ^ { 3 } - 3 x ^ { 2 } - 2 x + 1$
B) $g ( x ) = - x ^ { 3 } - 3 x ^ { 2 } - 2 x - 1$
C) $g ( x ) = - x ^ { 3 } + 3 x ^ { 2 } - 2 x - 1$
D) $g ( x ) = x ^ { 3 } + 3 x ^ { 2 } + 2 x + 1$

Question

Quizplus · Accepted Answer

Reflecting a graph across the y-axis changes the sign of the x terms, so $g(x) = -x^3 - 3x^2 - 2x + 1$ is correct because it reflects the change in sign for the x terms while keeping the constant term the same.

Give the Equation of the Function G Whose Graph Is f(x)=x3−3x2+2x+1f ( x ) = x ^ { 3 } - 3 x ^ { 2 } + 2 x + 1f(x)=x3−3x2+2x+1

Give the Equation of the Function G Whose Graph Is $f ( x ) = x ^ { 3 } - 3 x ^ { 2 } + 2 x + 1$