Which of the following graphs are symmetric about the y-axis?
A) $y = x ^ { 7 } - x ^ { 6 } + 18$
B) $y = x ^ { 7 } - x ^ { 12 } + 18$
C) $y = x ^ { 9 } - x ^ { 7 } + 18$
D) $y = x ^ { 12 } - x ^ { 6 } + 18$
E) $y = x ^ { 9 } + x ^ { 7 } + 18$

Question

Quizplus · Accepted Answer

A graph is symmetric about the y-axis if replacing $x$ with $-x$ yields the same equation. This occurs when all the exponents of $x$ are even. Only option D has all even exponents.

Which of the Following Graphs Are Symmetric About the Y-Axis y=x7−x6+18y = x ^ { 7 } - x ^ { 6 } + 18y=x7−x6+18

Which of the Following Graphs Are Symmetric About the Y-Axis $y = x ^ { 7 } - x ^ { 6 } + 18$