document.write( "Question 389266: Find the x-intercepts of the parabola with vertex (-1,-108)and y- intercepts (0,-105). \n" ); document.write( "

Algebra.Com's Answer #275807 by Fombitz(32388) $\"\"$ $\"About$

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$\"y=a%28x%2Bh%29%5E2%2Bk\"$
\n" ); document.write( "Using the vertex,
\n" ); document.write( " $\"y=a%28x-1%29%5E2-108\"$
\n" ); document.write( "Using the y-intercept,
\n" ); document.write( " $\"-105=a%280-1%29%5E2-108\"$
\n" ); document.write( " $\"a=3\"$
\n" ); document.write( "So then,
\n" ); document.write( " $\"y=3%28x-1%29%5E2-108\"$
\n" ); document.write( "Find $\"x\"$ when $\"y=0\"$
\n" ); document.write( " $\"3%28x-1%29%5E2-108=0\"$
\n" ); document.write( " $\"3%28x-1%29%5E2=108\"$
\n" ); document.write( " $\"%28x-1%29%5E2=36\"$
\n" ); document.write( " $\"%28x-1%29=0+%2B-+6\"$
\n" ); document.write( " $\"x=1+%2B-+6\"$
\n" ); document.write( " $\"highlight%28x=-5%29\"$ and $\"highlight%28x=7%29\"$
\n" ); document.write( " \n" ); document.write( "

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