1. The problem asks to find the graph of an even function. 2. An even function satisfies the property $$f(-x) = f(x)$$ for all $x$ in its domain. 3. This means the graph of an even function is symmetric about the y-axis. 4. To identify an even function graphically, check if the left side of the graph (for negative $x$) is a mirror image of the right side (for positive $x$). 5. Among the given graphs: - The top-left graph (sinusoidal wave starting at origin) is not even because sine is an odd function. - The top-right graph shows parabolas but not symmetric about the y-axis. - The bottom-left graph shows parabolas opening upward and downward symmetrically about the y-axis. - The bottom-right graph also shows parabolas but with different symmetry. 6. Therefore, the bottom-left graph represents an even function because it is symmetric about the y-axis. Final answer: The graph of an even function is the bottom-left graph, which shows symmetry about the y-axis.