document.write( "Question 467385: Could you please help me with this. I am not too good at finding the vertex, and graphing. Thanks so much! Huge final exam due very soon.\r
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document.write( "Find the vertex,line of symmetry, and the maximum or minimum value of f(x). Graph the function: f(x)=1/5(x+8)^2+5 \n" );
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Algebra.Com's Answer #320682 by jim_thompson5910(35256)![]() ![]() ![]() You can put this solution on YOUR website! Rewrite f(x)=1/5(x+8)^2+5 as f(x)=1/5(x-(-8))^2+5\r \n" ); document.write( " \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "Now function is in form f(x)=a(x-h)^2+k\r \n" ); document.write( " \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "Vertex is (h,k). We can see that h=-8 and k=5. So the vertex is (-8,5)\r \n" ); document.write( " \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "The line of symmetry is the vertical line at the x coordinate of the vertex. So the line of symmetry is x = -8 (a vertical line at x=-8)\r \n" ); document.write( " \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "The max/min is the y value of the vertex. In this case, a=1/5, which is positive. So the y value of the vertex is a min. The min is y = 5\r \n" ); document.write( " \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "Graph (use a calculator or plot a series of points):\r \n" ); document.write( " \n" ); document.write( " \n" ); document.write( "\n" ); document.write( " |