document.write( "Question 255162: f(x)=x^2-7 I'm supposed tell weather the function has a minimum or a maximum value, and we're supposed to find the minumum and maxmum value as well. I donot know how should i procced with the problem. Do I solve the problem with the formula
\n" );
document.write( "x=-b/2a yes or no?\r
\n" );
document.write( "\n" );
document.write( "Thank You very much for taking time out of your day to help me with my Algebra 1 homework, I really apperciate it. Have a nice day, and thank you again. \n" );
document.write( "
Algebra.Com's Answer #187468 by dabanfield(803)![]() ![]() ![]() You can put this solution on YOUR website! f(x) = x^2 -7 is a parabola.\r \n" ); document.write( "\n" ); document.write( "the max or min of a parabola is always the vertex\r \n" ); document.write( "\n" ); document.write( "rewrite the equation in \"parabolic vertex for\r \n" ); document.write( "\n" ); document.write( "That is: \n" ); document.write( "f(x) = a(x-h)²+k \n" ); document.write( "where (h,k) is the vertex \n" ); document.write( "and a determines how wide or narrow the parabola is, and whether it opens up or down \n" ); document.write( "if a is negative it opens down, and you have a max \n" ); document.write( "if a is positive then it opens up and you have a min\r \n" ); document.write( "\n" ); document.write( "In this case the equation in standard form is:\r \n" ); document.write( "\n" ); document.write( "f(x) = 1*(x-0)^2 + (-7)\r \n" ); document.write( "\n" ); document.write( "The vertex then is (0,-7). Since a = 1 is positive the vertex is at a minimum point. \n" ); document.write( " \n" ); document.write( " |