document.write( "Question 810827: the vertex of a parabola is at(2,-4). when the x value is 3, the y value is -1. what is the coefficent of the squared expression in the parabolas equation \n" ); document.write( "

Algebra.Com's Answer #488453 by erica65404(394) $\"\"$ $\"About$

You can put this solution on YOUR website!
vertex form: $\"y=a%28x-h%29%5E2%2Bk\"$
\n" ); document.write( "h is the x value in the vertex and k is the y value in the vertex.
\n" ); document.write( "a is the coefficient.
\n" ); document.write( "the vertex form is $\"y=a%28x-2%29%5E2-4\"$
\n" ); document.write( "you want find a so plug in the x and y value they give you and solve for a.
\n" ); document.write( " $\"-1=a%283-2%29%5E2-4\"$
\n" ); document.write( " $\"-1=a-4\"$
\n" ); document.write( " $\"3=a\"$
\n" ); document.write( "The vertex equation of the parabola they give you is
\n" ); document.write( " $\"y=3%28x-2%29%5E2-4\"$
\n" ); document.write( "The coefficient is 3. \n" ); document.write( "

\n" );