document.write( "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? \n" ); document.write( "

Algebra.Com's Answer #294965 by MathLover1(20850) $\"\"$ $\"About$

You can put this solution on YOUR website!
\r
\n" ); document.write( "\n" ); document.write( "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.\r
\n" ); document.write( "\n" ); document.write( "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.\r
\n" ); document.write( "\n" ); document.write( "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. \r
\n" ); document.write( "\n" ); document.write( "The $\"zeroes\"$ would be $\"equidistant\"$ on either side of the axis of symmetry at the points where the parabola crosses the $\"x-axis\"$ . \n" ); document.write( "

\n" );