document.write( "Question 987157: Calculate the turning point of the quadratic function
\n" ); document.write( "y=4x^2-7x+3 \n" ); document.write( "

Algebra.Com's Answer #607941 by Fombitz(32388) $\"\"$ $\"About$

You can put this solution on YOUR website!
Using the derivative:
\n" ); document.write( " $\"dy%2Fdx=8x-7\"$
\n" ); document.write( "Set the derivative equal to zero.
\n" ); document.write( " $\"8x-7=0\"$
\n" ); document.write( " $\"8x=7\"$
\n" ); document.write( " $\"x=7%2F8\"$
\n" ); document.write( ".
\n" ); document.write( ".
\n" ); document.write( ".
\n" ); document.write( "Using the vertex form:
\n" ); document.write( "Convert to vertex form,
\n" ); document.write( " $\"y=4%28x%5E2-%287%2F4%29x%29%2B3\"$
\n" ); document.write( " $\"y=4%28x%5E2-%287%2F4%29x%2B%287%2F8%29%5E2%29%2B3-4%287%2F8%29%5E2\"$
\n" ); document.write( " $\"y=4%28x-7%2F8%29%5E2%2B3-4%2849%2F64%29\"$
\n" ); document.write( " $\"y=4%28x-7%2F8%29%5E2%2B48%2F16-49%2F16\"$
\n" ); document.write( " $\"y=4%28x-7%2F8%29%5E2-1%2F16\"$
\n" ); document.write( "Vertex is ( $\"7%2F8\"$ , $\"-1%2F16\"$ ) \n" ); document.write( "

\n" );