The graph of y = x^2 -2 is obtained by shifting the graph of y = x^2 downward by 2 units. Since the vertex of the original graph is (0,0), the vertex of the graph of y = x^2 - 2 will be at (0, -2).
Therefore, the graph that could represent y = x^2 - 2 is a parabola with its vertex at (0, -2), symmetric over the y-axis.
The graph of y = x2 is shown below.
The graph of a upward facing parabola is shown on a coordinate plane. The parabola has a vertex at left-parenthesis 0 comma 0 right-parenthesis and is symmetric over the y-axis. The parabola is labeled y equals x squared.
Which of the following could be the graph of y = x2 – 2?
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