document.write( "Question 774692: Please let me know why does the parabolic equation $\"y=X%5E2\"$ has two roots though the parabola touches the x-axis only once. \n" ); document.write( "

Algebra.Com's Answer #472388 by MathLover1(20849) $\"\"$ $\"About$

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\n" ); document.write( " $\"y=X%5E2\"$ ..... the basic upward opening parabola\r
\n" ); document.write( "\n" ); document.write( "since you have $\"x%5E2\"$ , always will be two $\"x\"$ have the same $\"y\"$ value\r
\n" ); document.write( "\n" ); document.write( "example:
\n" ); document.write( "if $\"x=1\"$ => $\"y=%281%29%5E2\"$ => $\"y=1\"$
\n" ); document.write( "if $\"x=-1\"$ => $\"y=%28-1%29%5E2\"$ => $\"y=1\"$ \r
\n" ); document.write( "\n" ); document.write( "or
\n" ); document.write( "if $\"x=2\"$ => $\"y=%282%29%5E2\"$ => $\"y=4\"$
\n" ); document.write( "if $\"x=-2\"$ => $\"y=%28-2%29%5E2\"$ => $\"y=4\"$ \r
\n" ); document.write( "\n" ); document.write( "it happens to be $\"x=0\"$ first, and $\"0\"$ is neither positive nor negative, so the lowest point of this parabola is the vertex which is at ( $\"0\"$ , $\"0\"$ )
\n" ); document.write( "and parabola touches $\"x-axis%2C+as+%7B%7B%7By-axis\"$ as well, only ones
\n" ); document.write( "
\n" ); document.write( " $\"+graph%28+600%2C+600%2C+-10%2C+10%2C+-10%2C+10%2C+x%5E2%29+\"$ \n" ); document.write( "

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