document.write( "Question 1157011: 18.\r
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\n" ); document.write( "\n" ); document.write( "I need help graphing the following and listing the directions,vertex,axis of symmetry,table with 5 points and the graph for this equation\r
\n" ); document.write( "\n" ); document.write( "f(x)=2(x+1)^2-3 \n" ); document.write( "

Algebra.Com's Answer #779947 by MathLover1(20850) $\"\"$ $\"About$

You can put this solution on YOUR website!

\n" ); document.write( " $\"F%28x%29=2%28x%2B1%29%5E2-3\"$ \r
\n" ); document.write( "\n" ); document.write( "compare to $\"F%28x%29=+a%28x-h%29%5E2%2Bk\"$ \r
\n" ); document.write( "\n" ); document.write( "from given formula you see that $\"h=-1\"$ and $\"k=-3\"$ , so vertex is at ( $\"-1\"$ , $\"-3\"$ )
\n" ); document.write( "the $\"vertical\"$ line that goes through the vertex
\n" ); document.write( " $\"x=+-1\"$ \r
\n" ); document.write( "\n" ); document.write( "directrix:
\n" ); document.write( " $\"y=+2%28x%2B1%29%5E2-3\"$
\n" ); document.write( " $\"%281%2F2%29%28y%2B3%29=+%28x%2B1%29%5E2\"$ ...since $\"4p=1%2F2\"$ => $\"p=1%2F8\"$ \r
\n" ); document.write( "\n" ); document.write( " $\"y=-3-p\"$
\n" ); document.write( " $\"y=-3-1%2F8\"$
\n" ); document.write( " $\"y=-25%2F8\"$ \r
\n" ); document.write( "\n" ); document.write( "table:\r
\n" ); document.write( "\n" ); document.write( " $\"x\"$ | $\"y\"$
\n" ); document.write( " $\"-1\"$ | $\"-3\"$
\n" ); document.write( " $\"1\"$ | $\"5\"$
\n" ); document.write( " $\"-3\"$ | $\"5\"$
\n" ); document.write( " $\"0\"$ | $\"-1\"$
\n" ); document.write( " $\"-2\"$ | $\"-1\"$ \r
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