document.write( "Question 927912: I'm struggling a lot with this one...I am so lost...
\n" ); document.write( "Put equation in this form y=ax^2+bx+c\r
\n" ); document.write( "\n" ); document.write( "Vertex (4, -1) passes through (2, 3)
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Algebra.Com's Answer #563326 by Techpriest(29)\"\" \"About 
You can put this solution on YOUR website!
Did you remember the formula of:
\n" ); document.write( "\"+f%28x%29+=+a%28x-h%29%5E2%2Bk+\"
\n" ); document.write( "A vertex of this formula would be (h,k).
\n" ); document.write( "So we can plug in the vertex into this formula into:
\n" ); document.write( "\"+f%28x%29+=+a%28x-4%29%5E2-1+\"
\n" ); document.write( "We know that it passes through (2,3) so we can plug-in the x and y value into the formula also:
\n" ); document.write( "\"+3+=+a%282-4%29%5E2-1+\"
\n" ); document.write( "And so we combine like terms now.
\n" ); document.write( "\"+3+=+a%28-2%29%5E2-1+\" Combine Like Terms
\n" ); document.write( "\"+3+=+4a-1+\" Simplify
\n" ); document.write( "\"+3+%2B+1+=+4a-1%2B1+\" Addition Property of Equality
\n" ); document.write( "\"+4%2F4+=+4a%2F4+\" Division Property of Equality
\n" ); document.write( "\"+1+=+a+\" Simplify
\n" ); document.write( "We know that a is one. So, into the formula we know that now.
\n" ); document.write( "\"+f%28x%29+=+1%28x-4%29%5E2-1+\"
\n" ); document.write( "\"+f%28x%29+=+%28x-4%29%5E2-1+\" Distribution
\n" ); document.write( "\"+f%28x%29+=+x%5E2-8x%2B16-1+\" FOIL
\n" ); document.write( "\"+f%28x%29+=+x%5E2-8x%2B15+\" Simplify
\n" ); document.write( "\"+y+=+x%5E2-8x%2B15+\" We know that f(x) is y.
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