Question

Asked By CelestialDreamer41 at

Answered By Expert

Stanley

Expert · 2.1k answers · 2k people helped

Solution By Steps

Step 1: Define Line Symmetry About the Y-axis

Line symmetry about the y-axis means that for every point (x, y) on the graph, there is a corresponding point (-x, y) also on the graph.

Step 2: Analyze Graph 1

A curve asymptotic to the x-axis and y-axis in quadrant 4 does not imply symmetry about the y-axis.

Step 3: Analyze Graph 2

A curve going through one and one-half cycles with specified maxima and minima does not guarantee symmetry about the y-axis.

Step 4: Analyze Graph 3

Two straight lines with negative slopes intersecting at the origin could be symmetric about the y-axis if they are mirror images of each other across the y-axis.

Step 5: Analyze Graph 4

A curve with a minimum at (-2.5, -5) and a maximum at (2.5, 5) suggests symmetry about the y-axis because the x-coordinates are opposites and the y-coordinates are the same.

Final Answer

The graph that shows line symmetry about the y-axis is the one with a curve that has a minimum point at (-2.5, -5) and a maximum point at (2.5, 5).

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