What type of symmetry can the graph of a quadratic function have?
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The graph of a quadratic function is a parabola. The axis of symmetry of a parabola is a vertical line that divides the parabola into two congruent halves.
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The graph of a quadratic function is a parabola. The axis of symmetry of a parabola is a vertical line that divides the parabola into two congruent halves.
Step-by-step explanation:
The graph of a quadratic equation in the form x=ay2+by+c has as its axis of symmetry the line y=−b2a . So, the equation of the axis of symmetry of the given parabola is y=−42(1) or y=−2 . Substitute y=−2 in the equation to find the x -coordinate of the vertex. Therefore, the coordinates of the vertex are (−2,−2) .
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