document.write( "Question 669342: Determine the quadratic function f whose vertex is (1,-3) and passes through (2,-1).\r
\n" ); document.write( "\n" ); document.write( "f(x) =
\n" ); document.write( "(Give the answer in the form f(x) = ax^2 + bx + c.)\r
\n" ); document.write( "\n" ); document.write( "This is very confusing to me.
\n" ); document.write( "I know that the vertex (h,k) = (1,-3) and that this is a parabola that passes through the point of (2,-1)(x being 2 and y being -1) but I am not sure how to do what they are asking me here. Please Help!!\r
\n" ); document.write( "\n" ); document.write( "Nichole \n" ); document.write( "
Algebra.Com's Answer #416337 by lwsshak3(11628)\"\" \"About 
You can put this solution on YOUR website!
Determine the quadratic function f whose vertex is (1,-3) and passes through (2,-1).
\n" ); document.write( "f(x) =
\n" ); document.write( "(Give the answer in the form f(x) = ax^2 + bx + c.)
\n" ); document.write( "**
\n" ); document.write( "Using standard form of equation for a parabola: y=A(x-h)^2+k, (h,k)=(x,y) coordinates of the vertex
\n" ); document.write( "plug in given coordinates of vertex (1,-3)
\n" ); document.write( "y=A(x-1)^2-3
\n" ); document.write( "plug in given coordinates of point: (2,-1), then solve for A
\n" ); document.write( "-1=A(2-1)^2-3
\n" ); document.write( "-1=A-3
\n" ); document.write( "A=2\r
\n" ); document.write( "\n" ); document.write( "Equation of parabola: (quadratic function):
\n" ); document.write( "F(x)=2(x-1)^2-3
\n" ); document.write( "F(x)=2(x^2-2x+1)-3
\n" ); document.write( "F(x)=2x^2-4x+2-3
\n" ); document.write( "F(x)=2x^2-4x-1
\n" ); document.write( "see graph below:
\n" ); document.write( "\"+graph%28+300%2C+300%2C+-10%2C+10%2C+-10%2C+10%2C+2x%5E2-4x-1%29+\"
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