document.write( "Question 978905: Find the x intercept of the parabola with vertex (-4,2) and y intercept (0,-30). Write the answer in this form (x1,y1) (x2,y2) . Round to the hundredth if necessary. \n" ); document.write( "

Algebra.Com's Answer #600240 by Fombitz(32388) $\"\"$ $\"About$

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In vertex form,
\n" ); document.write( " $\"y=a%28x-%28-4%29%29%5E2%2B2\"$
\n" ); document.write( " $\"y=a%28x%2B4%29%5E2%2B2\"$
\n" ); document.write( "So then solving for the y-intercept,
\n" ); document.write( " $\"-30=a%280%2B4%29%5E2%2B2\"$
\n" ); document.write( " $\"-30=16a%2B2\"$
\n" ); document.write( " $\"-32=16a\"$
\n" ); document.write( " $\"a=-2\"$
\n" ); document.write( "So then,
\n" ); document.write( " $\"y=-2%28x%2B4%29%5E2%2B2\"$
\n" ); document.write( "Solving for the x-intercept,
\n" ); document.write( " $\"0=-2%28x%2B4%29%5E2%2B2\"$
\n" ); document.write( " $\"-2=-2%28x%2B4%29%5E2\"$
\n" ); document.write( " $\"1=%28x%2B4%29%5E2\"$
\n" ); document.write( " $\"x%2B4=1\"$ and $\"x%2B4=-1\"$
\n" ); document.write( " $\"x=-3\"$ and $\"x=-5\"$
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