Determine whether the graph of the given equation is symmetric with respect to the x-axis, the y-axis, and/or the origin.
-$y = - 5 x ^ { 2 } - 1$
A) No symmetry
B) Origin
C) x-axis
D) y-axis

Question

Quizplus · Accepted Answer

The graph of $y = -5x^2 - 1$ is symmetric with respect to the y-axis because replacing $x$ with $-x$ yields the same equation, indicating that for every point $(x, y)$ on the graph, there is a corresponding point $(-x, y)$.

Determine Whether the Graph of the Given Equation Is Symmetric y=−5x2−1y = - 5 x ^ { 2 } - 1y=−5x2−1

Determine Whether the Graph of the Given Equation Is Symmetric $y = - 5 x ^ { 2 } - 1$