[Graph] Find the vertex, the axis of symmetry, and the y-intercept of the graph.

Question
[Graph] Find the vertex, the axis of symmetry, and the y-intercept of the graph.

Answers (1)

2021-02-24
The vertex of a quadratic function is the lowest point when it opens upward or the highest point when it opens downward. The given graph opens upward so we need to look for the lowest point in the graph. The lowest point is at (2,−1) so the vertex is (2,−1) .
The axis of symmetry is the vertical line passing through the vertex. If a quadratic function has a vertex of (h,k), then the axis of symmetry is x=h. Since the vertex of the graph is (2,−1), then the axis of symmetry is x=2.
The yy-intercept is where the graph intersects the y-axis. The graph intersects the yy-axis at (0,1). The yy-intercept is then 1.
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