document.write( "Question 117324: can you help me with this problem? A parabola is congruent to y=x^2 and has x-intercepts 1 and 5. determine the coordinates of the vertex \n" ); document.write( "

Algebra.Com's Answer #85360 by Fombitz(32388) $\"\"$ $\"About$

You can put this solution on YOUR website!
A parabola is symmetric about the vertex.
\n" ); document.write( "If you take the average of the x intercepts you will find the x coordinate of the parabola.
\n" ); document.write( " $\"x%5Bv%5D=%281%2B5%29%2F2\"$
\n" ); document.write( " $\"x%5Bv%5D=3\"$
\n" ); document.write( "The general equation, congruent to $\"y=x%5E2\"$ , is then,
\n" ); document.write( " $\"y=%28x-3%29%5E2%2By%5B0%5D\"$
\n" ); document.write( "Find $\"y%5B0%5D\"$ by using either point,
\n" ); document.write( " $\"0=%285-3%29%5E2%2By%5B0%5D\"$
\n" ); document.write( " $\"y%5B0%5D=-4\"$
\n" ); document.write( " $\"y=%28x-3%29%5E2-4\"$
\n" ); document.write( "The vertex is (3,-4).
\n" ); document.write( " $\"+graph%28+300%2C+300%2C+-10%2C+10%2C+-10%2C+10%2C+x%5E2%2C+%28x-3%29%5E2-4%29+%29\"$ \n" ); document.write( "

\n" );