document.write( "Question 252579: how can you figure out two symmetrical points from these two equations. y=5(x+6)^2 and y= -3/5(x-3)^2 I need to have the work done so i can learn from this and figure out other equations. I am not understanding. thank you. \n" ); document.write( "
Algebra.Com's Answer #184625 by stanbon(75887)![]() ![]() ![]() You can put this solution on YOUR website! how can you figure out two symmetrical points from these two equations. y=5(x+6)^2 and y= -3/5(x-3)^2 I need to have the work done so i can learn from this and figure out other equations. I am not understanding. thank you. \n" ); document.write( "--- \n" ); document.write( "1st Equation: \n" ); document.write( "y = 4(x+6)^2 \n" ); document.write( "Axis of symmetry is x = -6 \n" ); document.write( "-- \n" ); document.write( "Two points on the parabola that are symmetric to x= -6 \n" ); document.write( "would be: \n" ); document.write( "Consider points 2 to the left of x=-6 and 2 to the right of -6. \n" ); document.write( "Let x = -8, then y = 4(-8+6)^2 = 4*4 = 16, giving you point (-8,16) \n" ); document.write( "Let x = -4, then y = 4(-4+6)^2 = 4*4 = 16, giving you point (-4,16) \n" ); document.write( "====================================== \n" ); document.write( "2nd Equation: \n" ); document.write( "y = (-3/5)(x-3)^2 \n" ); document.write( "Axia of symmetry is x = 3 \n" ); document.write( "Consides point 3 to the left and 3 to the right of x = 3 \n" ); document.write( "Let x = 0, then y = (-3/5)(-3)^2 = (-3/5)*9 = -27/5 giving you point(0,-27/5) \n" ); document.write( "Let x = 6, then y = (-3/5)(6-3)^2 = (-3/5)9 = -27/5 giving you point(6,-27/5) \n" ); document.write( "============================================================================= \n" ); document.write( "Cheers, \n" ); document.write( "Stan H.\r \n" ); document.write( " \n" ); document.write( " \n" ); document.write( " \n" ); document.write( " \n" ); document.write( " \n" ); document.write( "\n" ); document.write( " \n" ); document.write( " |