document.write( "Question 1180036: For each equation, identify a, h, and k; list the coordinates of the vertex; direction of opening; step pattern (a * 1,3,5) and the transformations required to get this new parabola from the original y = x2. \r
\n" ); document.write( "\n" ); document.write( "y = x2 \r
\n" ); document.write( "\n" ); document.write( "y = 2(x - 1)2 \r
\n" ); document.write( "\n" ); document.write( "y = 2(x - 1)2 + 3 \r
\n" ); document.write( "\n" ); document.write( "y = -2(x - 3)2 - 1 \r
\n" ); document.write( "\n" ); document.write( "y = (x + 1)2 \r
\n" ); document.write( "\n" ); document.write( "y = (x + 3)2  - 1 \r
\n" ); document.write( "\n" ); document.write( " \n" ); document.write( "

Algebra.Com's Answer #809620 by MathLover1(20849) $\"\"$ $\"About$

You can put this solution on YOUR website!
$\"y+=+x%5E2\"$ -> the direction of opening: opens $\"up\"$ , step pattern is ( $\"1\"$ , $\"3\"$ , $\"5\"$ )\r
\n" ); document.write( "\n" ); document.write( " $\"y+=+2%28x+-+1%29%5E2\"$ ->the direction of opening: opens $\"up\"$ , the vertex is ( $\"1\"$ , $\"0\"$ ), step pattern is $\"2\"$ ( $\"1\"$ , $\"3\"$ , $\"5\"$ ) =( $\"2\"$ , $\"6\"$ , $\"10\"$ ) \r
\n" ); document.write( "\n" ); document.write( " $\"y+=+2%28x+-1%29%5E2%2B3\"$ ->the direction of opening: opens $\"+up\"$ , the vertex is ( $\"1\"$ , $\"0\"$ ), step pattern is $\"2\"$ ( $\"1\"$ , $\"3\"$ , $\"5\"$ ) =( $\"2\"$ , $\"6\"$ , $\"10\"$ ) \r
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\n" ); document.write( "\n" ); document.write( " $\"y+=+-2%28x-3%29%5E2-1\"$ ->the direction of opening: opens $\"down\"$ , the vertex is ( $\"3\"$ , $\"-1\"$ ), step pattern is $\"-2\"$ ( $\"1\"$ , $\"3\"$ , $\"5\"$ ) =( $\"-2\"$ , $\"-6\"$ , $\"-10\"$ ) \r
\n" ); document.write( "\n" ); document.write( " $\"y+=%28x+%2B+1%29%5E2\"$ ->the direction of opening: opens $\"up\"$ , the vertex is ( $\"-1\"$ , $\"0\"$ ), step pattern is $\"1\"$ ( $\"1\"$ , $\"3\"$ , $\"5\"$ ) =( $\"1\"$ , $\"3\"$ , $\"5\"$ )\r
\n" ); document.write( "\n" ); document.write( " $\"y+=%28x+%2B+3%29%5E2-+1\"$ -> the direction of opening: opens $\"up\"$ , the vertex is ( $\"-3\"$ , $\"-1\"$ ), step pattern is $\"1\"$ ( $\"1\"$ , $\"3\"$ , $\"5\"$ ) =( $\"1\"$ , $\"3\"$ , $\"5\"$ )\r
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