document.write( "Question 1078920: What is an equation for a parabola if the vertex is (0,1) and the endpoints are (-1,2) and (1,2) \n" ); document.write( "
Algebra.Com's Answer #693310 by josmiceli(19441)\"\" \"About 
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The general equation is:
\n" ); document.write( "\"+y+=+a%2Ax%5E2+%2B+b%2Ax+%2B+c+\"
\n" ); document.write( "You are given 3 points:
\n" ); document.write( "(-1,2), (1,2) and the vertex, (0,1)
\n" ); document.write( "-----------------------------------
\n" ); document.write( "The x-value of the vertex is:
\n" ); document.write( "\"+x%5Bv%5D+=+-b%2F%282a%29+\"
\n" ); document.write( "\"+0+=+-b%2F%282a%29+\"
\n" ); document.write( "\"+b+=+0+\"
\n" ); document.write( "----------------------------
\n" ); document.write( "So I have:
\n" ); document.write( "\"+y+=+a%2Ax%5E2+%2B+0%2Ax+%2B+c+\"
\n" ); document.write( "\"+y+=+a%2Ax%5E2+%2B+c+\"
\n" ); document.write( "--------------------------
\n" ); document.write( "(-1,2)
\n" ); document.write( "\"+2+=+a%2A%28-1%29%5E2+%2B+c+\"
\n" ); document.write( "\"+2+=+a+%2B+c+\"
\n" ); document.write( "(1,2)
\n" ); document.write( "\"+2+=+a%2A1%5E2+%2B+c+\"
\n" ); document.write( "\"+2+=+a+%2B+c+\"
\n" ); document.write( "---------------------------
\n" ); document.write( "(0,1)
\n" ); document.write( "\"+1+=+a%2A0%5E2+%2B+c+\"
\n" ); document.write( "\"+1+=+c+\"
\n" ); document.write( "---------------------------
\n" ); document.write( "\"+2+=+a+%2B+c+\"
\n" ); document.write( "\"+2+=+a+%2B+1+\"
\n" ); document.write( "\"+a+=+1+\"
\n" ); document.write( "---------------------------
\n" ); document.write( "\"+a+=+1+\"
\n" ); document.write( "\"+c+=+1+\"
\n" ); document.write( "\"+y+=+x%5E2+%2B+1+\"
\n" ); document.write( "----------------------------
\n" ); document.write( "Here's the plot:
\n" ); document.write( "\"+graph%28+400%2C+400%2C+-5%2C+5%2C+-5%2C+5%2C+x%5E2+%2B+1+%29+\"
\n" ); document.write( "
\n" ); document.write( "
\n" );