document.write( "Question 491337: WHat is the range of y=x^2-10x+25 \n" ); document.write( "

Algebra.Com's Answer #334787 by lwsshak3(11628) $\"\"$ $\"About$

You can put this solution on YOUR website!
WHat is the range of y=x^2-10x+25
\n" ); document.write( "**
\n" ); document.write( "y=x^2-10x+25
\n" ); document.write( "completing the square
\n" ); document.write( "y=(x^2-10x+25)+25-25
\n" ); document.write( "y=(x-5)^2
\n" ); document.write( "This is an equation of a parabola of the standard form: y=A(x-h)^2+k, with (h,k) being the (x,y) coordinates of the vertex.
\n" ); document.write( "for given problem:
\n" ); document.write( "range: (0,∞)
\n" ); document.write( "see graph below as a visual check on answer:
\n" ); document.write( " $\"+graph%28+300%2C+300%2C+-10%2C+10%2C+-10%2C+10%2C%28x-5%29%5E2%29+\"$ \n" ); document.write( "

\n" );