document.write( "Question 175623: Graph each function. State the vertex and the y-intercept. Find its maximum or minimum value. \r
\n" ); document.write( "\n" ); document.write( "1.) y = -(x-2)^2 + 1\r
\n" ); document.write( "\n" ); document.write( "2.) y = -x^2 + 7 \n" ); document.write( "

Algebra.Com's Answer #130706 by josmiceli(19441) $\"\"$ $\"About$

You can put this solution on YOUR website!
If the general equation is
\n" ); document.write( " $\"y+=+ax%5E2+%2B+bx+%2B+c\"$
\n" ); document.write( "The vertex is at $\"-%28b%2F2a%29\"$
\n" ); document.write( "1) $\"y+=+-%28x-2%29%5E2+%2B+1\"$
\n" ); document.write( " $\"y+=+-%28x%5E2+-+4x+%2B+4%29+%2B+1\"$
\n" ); document.write( " $\"y+=+-x%5E2+%2B+4x+-+3\"$
\n" ); document.write( " $\"-%28b%2F%282a%29%29+=+-%284%2F%282%2A%28-1%29%29%29\"$
\n" ); document.write( " $\"4%2F2+=+2\"$
\n" ); document.write( "When $\"x=2\"$ , $\"y=1\"$ , so the
\n" ); document.write( "vertex is at (2,1)
\n" ); document.write( "It's a max because of the - sign
\n" ); document.write( "in front of (x-2)^2
\n" ); document.write( "Graphing the 2 equations:
\n" ); document.write( " $\"+graph%28+600%2C+600%2C+-10%2C+10%2C+-5%2C+10%2C-x%5E2+%2B+4x+-+3%2C-x%5E2+%2B+7%29+\"$ \n" ); document.write( "

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