document.write( "Question 1010890: I don't understand how to complete this problem: Write an equation for the parabola whose vertex is at (2,6) and which passes through (4,-1). \n" ); document.write( "
Algebra.Com's Answer #626401 by Boreal(15235)![]() ![]() You can put this solution on YOUR website! The vertex form is y=a(x-h)^2+k, where the vertex is (h,k)\r \n" ); document.write( "\n" ); document.write( "That means y=a(x-2)^2+6 \n" ); document.write( "Now, use the point given to solve for a. \n" ); document.write( "-1=a(2)^2+6, (x-2)^2=2^2, if x=4 \n" ); document.write( "-1=4a+6 \n" ); document.write( "4a=-7 \n" ); document.write( "a=(-7/4) \n" ); document.write( "(-7/4){x^2-4x+4)+6= \n" ); document.write( "-(7/4)x^2+7x-7+6=-(7/4)x^2+7x-1 \n" ); document.write( " |