HW Score: \( 44.44 \%, 5.33 \) of 12 points Select the correct choice that completes the sentence below. The graph of an equation is symmetric with respect to the He, 1.3.C4 substituting \( -y \) for \( y \) in the equation results in an equivalent equation.

To determine if a graph is symmetric with respect to the x-axis, you substitute \( -y \) for \( y \) in the equation. If the resulting equation remains equivalent to the original, then the graph exhibits this symmetry. So when you find that the equations are equivalent, you're looking at a graph that will reflect perfectly over the x-axis! This concept is frequently used in various fields including physics and engineering when analyzing symmetrical properties of waves or structures. Understanding when a graph retains its form under transformations helps simplify complex problems and predict behavior across various parameters.