Question

5 multiple choice 1 point determine if the graph below has point symmetry, line symmetry, or no symmetry. no symmetry line symmetry point symmetry

Explanation:

Step1: Understand line symmetry

Line symmetry means a graph can be divided by a line (axis of symmetry) such that one side is the mirror - image of the other.

Step2: Analyze the given graph

For a parabola \(y = ax^{2}+bx + c\), the axis of symmetry is given by \(x=-\frac{b}{2a}\). In the case of a graph symmetric about the \(y\) - axis (\(x = 0\)), if \((x,y)\) is on the graph, then \((-x,y)\) is also on the graph. Looking at the given graph, for every point \((x,y)\) (e.g., if \(x = 1\) and we find the \(y\) - value, then for \(x=-1\) the \(y\) - value is the same). The graph is symmetric about the \(y\) - axis (a vertical line \(x = 0\)).

Answer:

line symmetry