SOLUTION: If you are given the axis of symmetry of a quadratic function and know that the function has two zeros, how would you describe the location of the two zeros?
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Question 422630: If you are given the axis of symmetry of a quadratic function and know that the function has two zeros, how would you describe the location of the two zeros? Answer by MathLover1(20850) (Show Source):
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A parabola is symmetric with respect to a line called the axis of symmetry. A parabola intersects its axis of symmetry at a point called the vertex of the parabola.
You know that two points determine a line. This means that if you are given any two points in the plane, then there is one and only one line that contains both points. A similar statement can be made about points and quadratic functions.
Given three points in the plane that have different first coordinates and do not lie on a line, there is exactly one quadratic function f whose graph contains all three points and it is a parabola that goes through all three.
The would be on either side of the axis of symmetry at the points where the parabola crosses the .
