document.write( "Question 1137546: Please help with this question. \r
\n" ); document.write( "\n" ); document.write( "A quadratic function has these characteristics:
\n" ); document.write( "x = 1 is the equation for the axis of symmetry.
\n" ); document.write( "x = - 1 is an x-intercept.
\n" ); document.write( "y = - 4 is the minimum value.
\n" ); document.write( "Determine the y-intercept of this parabola.
\n" ); document.write( "Explain your thought process.\r
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Algebra.Com's Answer #755424 by greenestamps(13200)\"\" \"About 
You can put this solution on YOUR website!


\n" ); document.write( "The axis of symmetry is x=1, and one root is x = -1; therefore the other root is 3. So the equation still in factored form is

\n" ); document.write( "\"y+=+a%28x%2B1%29%28x-3%29\"

\n" ); document.write( "To find the value of a, use the fact that the minimum value is at (1,-4):

\n" ); document.write( "\"-4+=+a%281%2B1%29%281-3%29+=+-4a\"
\n" ); document.write( "\"a+=+1\"

\n" ); document.write( "So the equation is

\n" ); document.write( "\"y+=+%28x%2B1%29%28x-3%29\"
\n" ); document.write( "\"y+=+x%5E2-2x-3\"

\n" ); document.write( "Then to answer the question that is asked, set x=0 to find that the y-intercept is (0,-3).

\n" ); document.write( "\"graph%28400%2C400%2C-4%2C4%2C-10%2C10%2C%28x%2B1%29%28x-3%29%29\"
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