document.write( "Question 310681: Find and label the vertex and the line of symmentry and graph the function, f(x)=5x^2. Type in ordered pairs. \n" ); document.write( "
Algebra.Com's Answer #222223 by nyc_function(2741)![]() ![]() You can put this solution on YOUR website! Let the point (x,y) = your vertex\r \n" ); document.write( "\n" ); document.write( "We use x = -b/2b to find x.\r \n" ); document.write( "\n" ); document.write( "Let x = line of symmetry\r \n" ); document.write( "\n" ); document.write( "Let a = 5 (the number in front of x^2) and b = 0 since there is no be term.\r \n" ); document.write( "\n" ); document.write( "x = -(0)/2(5)\r \n" ); document.write( "\n" ); document.write( "x = 0/10\r \n" ); document.write( "\n" ); document.write( "x = 0....This is your line of symmetry. This line evenly divides the parabola formed by the function f(x) = 5x^2 on the xy-plane.\r \n" ); document.write( "\n" ); document.write( "To find your vertex, replace x with 0 in your function and solve for y.\r \n" ); document.write( "\n" ); document.write( "But, where is y?\r \n" ); document.write( "\n" ); document.write( "We can write y as f(x) or vice-versa. They both mean the same thing.\r \n" ); document.write( "\n" ); document.write( "y = 5(0)^2\r \n" ); document.write( "\n" ); document.write( "y = 5(0)\r \n" ); document.write( "\n" ); document.write( "y = 0\r \n" ); document.write( "\n" ); document.write( "Your vertex is the point (0,0). This parabola opens UPWARD and has a minimum point at the origin, which is represented by (0,0).\r \n" ); document.write( "\n" ); document.write( "Understand? \n" ); document.write( " \n" ); document.write( " |