document.write( "Question 1182286: Find the x-intercept of the parabola with vertex (4,75) and y-intercept (0,27) write your answer in this form:(x1,y1),(x2,y2)
\n" ); document.write( "
\n" ); document.write( "

Algebra.Com's Answer #812260 by MathLover1(20850)\"\" \"About 
You can put this solution on YOUR website!
given:
\n" ); document.write( "vertex (\"4\",\"75\") =>\"h=4\",\"k=75\"\r
\n" ); document.write( "\n" ); document.write( "y-intercept (\"0\",\"27\") =>\"c=27\"\r
\n" ); document.write( "\n" ); document.write( "use vertex form of parabola:\r
\n" ); document.write( "\n" ); document.write( "\"y-k=a%28x-h%29%5E2%2Bc\"..........substitute given\r
\n" ); document.write( "\n" ); document.write( "\"y-k=a%28x-h%29%5E2%2Bk\"\r
\n" ); document.write( "\n" ); document.write( "\"y=a%28x-4%29%5E2%2B75\"....use given intercept to calculate \"a\"
\n" ); document.write( "\"27=a%280-4%29%5E2%2B75\"
\n" ); document.write( "\"27=16a%2B75\"
\n" ); document.write( "\"27-75=16a\"
\n" ); document.write( "\"-48=16a\"
\n" ); document.write( "\"a=-48%2F16\"
\n" ); document.write( "\"a=-3\"\r
\n" ); document.write( "\n" ); document.write( "equation is:\r
\n" ); document.write( "\n" ); document.write( "\"y=-3%28x-4%29%5E2%2B75\"\r
\n" ); document.write( "\n" ); document.write( "the x-intercept is at (\"x\",\"0\")=>\"y=0\"\r
\n" ); document.write( "\n" ); document.write( "\"0=-3%28x-4%29%5E2%2B75\"\r
\n" ); document.write( "\n" ); document.write( "\"3%28x-4%29%5E2=75\"
\n" ); document.write( "\"%28x-4%29%5E2=75%2F3\"
\n" ); document.write( "\"%28x-4%29%5E2=25\"
\n" ); document.write( "\"x-4=sqrt%2825%29\"
\n" ); document.write( "\"x-4=5\" or \"x-4=-5\"
\n" ); document.write( "\"x=5%2B4\" or \"x=-5%2B4\"
\n" ); document.write( "\"x=9\" or \"x=-1\"\r
\n" ); document.write( "\n" ); document.write( "the x-intercepts are a:
\n" ); document.write( "(\"9\",\"0\"),(\"-1\",\"0\")\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( " \r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "
\n" ); document.write( "
\n" );