document.write( "Question 280245: consider the standard form of quadratic equation y=ax^2+bx+c. how would you investigate the effect of the \"c\" on the location and/or shape of the parabola? \n" ); document.write( "
| Algebra.Com's Answer #203688 by stanbon(75887)      You can put this solution on YOUR website! consider the standard form of quadratic equation y=ax^2+bx+c. how would you investigate the effect of the \"c\" on the location and/or shape of the parabola? \n" ); document.write( "---------------- \n" ); document.write( "Notice that the equation is a statement about \"y\". \n" ); document.write( "It tells you where y is when x has certain values. \n" ); document.write( "---- \n" ); document.write( "If the c were not there y would equal ax^2+bx \n" ); document.write( "--- \n" ); document.write( "But when c is there y = ax^2+bx + c \n" ); document.write( "--- \n" ); document.write( "So, if c is positive, y is higher by \"c\". \n" ); document.write( "That means all the points of the graph are raised. \n" ); document.write( "--- \n" ); document.write( "And, if c is negative, y is lower by \"c\". \n" ); document.write( "That means all the points of the graph are lowered. \n" ); document.write( "======================================== \n" ); document.write( "So, c determines the vertical shift of the graph. \n" ); document.write( "==================================================== \n" ); document.write( "Cheers, \n" ); document.write( "Stan H. \n" ); document.write( " |