Question

which graphs have a line of symmetry? check all of the boxes that apply.

Explanation:

Step1: Recall line - symmetry concept

A graph has a line of symmetry if one half of the graph is the mirror - image of the other half across a line.

Step2: Analyze first graph

The first graph (a parabola opening to the right) has a vertical line of symmetry passing through its vertex.

Step3: Analyze second graph

The second graph (a non - symmetric wavy curve) has no line of symmetry. There is no line across which one half is the mirror image of the other.

Step4: Analyze third graph

The third graph (a periodic wavy curve) has a vertical line of symmetry passing through the middle of its "hump" or peak.

Answer:

The first and the third graphs have a line of symmetry.