document.write( "Question 682268: Greetings, I am doing homework on a website.
\n" ); document.write( "Here is the problem: Write a quadratic function to model the graph (a graph is provided but is not vital for the tutor to understand my question.).
\n" ); document.write( "The coordinates of the vertex are (h,k)= (3,2)
\n" ); document.write( "when substituted the values into the equation $\"f%28x%29=a%28x-h%29%5E2%2Bk\"$ the equation becomes
\n" ); document.write( " $\"f%28x%29=a%28x-9%29%5E2%2B2\"$
\n" ); document.write( "Why is h=3 in the ordered pair of the vertex but it is 9 in the vertex form equation?
\n" ); document.write( " \n" ); document.write( "

Algebra.Com's Answer #423110 by MathLover1(20849) $\"\"$ $\"About$

You can put this solution on YOUR website!

\n" ); document.write( "whoever put it in the vertex form equation $\"f%28x%29=a%28x-9%29%5E2%2B2\"$ is wrong\r
\n" ); document.write( "\n" ); document.write( "if you are given the equation $\"f%28x%29=a%28x-h%29%5E2%2Bk\"$ \r
\n" ); document.write( "\n" ); document.write( "and the vertex at ( $\"h\"$ , $\"k\"$ )= ( $\"3\"$ , $\"2\"$ ), means that $\"h=3\"$ and $\"k=2\"$ \r
\n" ); document.write( "\n" ); document.write( "then you have $\"f%28x%29=a%28x-3%29%5E2%2B2\"$ , NOT $\"f%28x%29=a%28x-9%29%5E2%2B2\"$ ; here $\"h\"$ is squared and that is incorrect\r
\n" ); document.write( "\n" ); document.write( " \n" ); document.write( "

\n" );