document.write( "Question 168083: The vertex of a quadratic function is (-5,-3) and the graph of the function contains the point (1,2). Is this enough information to determine the equation of the function? if so, give the equation of the function. if not explain why.
\n" ); document.write( " \n" ); document.write( "

Algebra.Com's Answer #123878 by jojo14344(1513) $\"\"$ $\"About$

You can put this solution on YOUR website!
Given the vertex (-5,-3) at points (1,2):
\n" ); document.write( "We can solve the eqn. using the Vertex Form in Solving Quadratic:
\n" ); document.write( " $\"f%28x%29=a%28x-h%29%5E2%2Bk\"$
\n" ); document.write( " $\"f%28x%29=a%28x-%28-5%29%29%5E2%2B%28-3%29\"$
\n" ); document.write( " $\"f%28x%29=a%28x%2B5%29%5E2-3\"$
\n" ); document.write( " $\"2=a%28x%5E2%2B10x%2B25%29-3\"$
\n" ); document.write( " $\"2=a%281%5E2%2B10%2A1%2B25%29-3\"$
\n" ); document.write( " $\"2=36a-3\"$
\n" ); document.write( " $\"2%2B3=36a\"$
\n" ); document.write( " $\"cross%2836%29a%2Fcross%2836%29=5%2F36\"$ ---> $\"a=5%2F36\"$
\n" ); document.write( "It follows the eqn: $\"f%28x%29=%285%2F36%29x%5E2%2B%285%2F36%2910x%2B%285%2F36%29%2825%29\"$
\n" ); document.write( " $\"f%28x%29=%285%2F36%29x%5E2%2B%2850%2F36%29x%2B%28125%2F36%29-3\"$
\n" ); document.write( " $\"f%28x%29=%285%2F36%29x%5E2%2B%2825%2F18%29x%2B%28125-108%29%2F36\"$
\n" ); document.write( " $\"highlight%28f%28x%29=%285%2F36%29x%5E2%2B%2825%2F18%29x%2B%2817%2F36%29%29\"$ , ANSWER
\n" ); document.write( "See graph:
\n" ); document.write( "

----> See vertex (-5,-3) with points (1,2)
\n" ); document.write( "Thank you,
\n" ); document.write( "Jojo\r
\n" ); document.write( "\n" ); document.write( " \n" ); document.write( "

\n" );