document.write( "Question 1201821: A hovercraft takes off from a platform.Its height (in meters), x seconds after takeoff, is modeled by:h(x)=−3(x−3)^2 +108 What is the height of the hovercraft at the time of takeoff? \n" ); document.write( "
Algebra.Com's Answer #836337 by carrollmary87(4) ![]() You can put this solution on YOUR website! -3(x - 3)^2 + 108 First FOIL (x - 3)(x - 3) = x^2 - 6x + 9 \n" ); document.write( "Then -3(x^2 - 6x + 9) + 108 Distribute the -3 \n" ); document.write( "-3x^2 + 18x - 27 + 108 Now combine the like terms. \n" ); document.write( "-27 + 108 = 81 This is the y-intercept, so this is where the plane takes off. It is the initial height. \n" ); document.write( "What is the height of the hovercraft at the time of takeoff? 81 meters. You could have also graphed it on Desmos.com and solved it as well. \n" ); document.write( " |