document.write( "Question 824633: Find the equation of the parabola centered at the origin passing through points (-2,-5) and (2,-5)? Please show work so I know how to do it. Thanks. \n" ); document.write( "

Algebra.Com's Answer #496619 by josgarithmetic(39620) $\"\"$ $\"About$

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Compare with standard form, $\"y=a%28x-h%29%2Bk\"$ .
\n" ); document.write( "You have h=0, so y=ax^2+k and also k=0 because vertex is at the origin.
\n" ); document.write( "You have $\"y=ax%5E2\"$ and want to just find a.\r
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\n" ); document.write( "\n" ); document.write( "Notice the two given points are for the same y value. With vertex at origin, the vertical line of symmetry is at x=0. You can use either given point to find a.\r
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\n" ); document.write( "\n" ); document.write( " $\"-5=a%282%29%5E2\"$
\n" ); document.write( "Solve for a. \n" ); document.write( "

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