document.write( "Question 200616: Find the exact value for f(x)=3(x+4)^2-30. vertex= ,axis of symmetry= ,y-intercepts= ,x-intercepts= . \n" ); document.write( "
Algebra.Com's Answer #150880 by RAY100(1637)![]() ![]() ![]() You can put this solution on YOUR website! f(x) = 3(x+4)^2 -30 \n" ); document.write( "y +30 = 3(x+4)^2 \n" ); document.write( ". \n" ); document.write( "std form,,,(y-k) = A ( x-h)^2 \n" ); document.write( ". \n" ); document.write( "-k=30,,,,k=-30,,,,,,,,,,-h = 4,,,h=-4,,,,Vertex ( h,k) = ( -4, -30) \n" ); document.write( ". \n" ); document.write( "Axis of symmetry is ,,,,,,,, x=-4 \n" ); document.write( ". \n" ); document.write( "A is positive therefore open up (parabola) \n" ); document.write( ". \n" ); document.write( "y intercept,,,,let x=0,,,,,y=3(0+4)^2 -30,,,,y= 48-30,,,,y=18 \n" ); document.write( ". \n" ); document.write( "x intercept,,,let y=0,,,,,0= 3(x+4)^2 -30 = 3 { (x+4)^2 -10}= x^2 +8x +16 -10 = x^2 +8x +6 \n" ); document.write( ". \n" ); document.write( "Use quadratic equation to solve,,,( note above 3 can be eliminated, due to 0 ) \n" ); document.write( ". \n" ); document.write( "a= 1,,,,b= 8,,,,,c=6 \n" ); document.write( ". \n" ); document.write( "x=[ -(8) +/- sqrt { (8)^2 - 4 (1)(6) } ] / 2(1) \n" ); document.write( ". \n" ); document.write( "x =[ -8 +/- sqrt { 64 -24 } ] / 2 \n" ); document.write( ". \n" ); document.write( "x = [ -8 +/- sqrt (40) ] /2 \n" ); document.write( ". \n" ); document.write( "x= [ -8 +/- 6.32 ] /2 \n" ); document.write( ". \n" ); document.write( "x = -7.16,,,x= - .838,,,,,,,also solution to equation \n" ); document.write( ". \n" ); document.write( " |