document.write( "Question 758445: Find the. Equation of the graph with following points. (-2;0) (3;0) (0;3) \n" ); document.write( "

Algebra.Com's Answer #461478 by lwsshak3(11628) $\"\"$ $\"About$

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Find the. Equation of the graph with following points. (-2;0) (3;0) (0;3)
\n" ); document.write( "***
\n" ); document.write( "y=ax^2+bx+c
\n" ); document.write( "(-2,0) ... 0=4a-2b+c
\n" ); document.write( "(3,0)...... 0=9a+3b+c
\n" ); document.write( "(0,3)......3=0+0+c
\n" ); document.write( "..
\n" ); document.write( "c=3
\n" ); document.write( "4a-2b+3=0
\n" ); document.write( "9a+3b+3=0
\n" ); document.write( "..
\n" ); document.write( "12a-6b+9=0
\n" ); document.write( "18a+6b+6=0
\n" ); document.write( "30a+15=0
\n" ); document.write( "30a=-15
\n" ); document.write( "a=-1/2
\n" ); document.write( "2b=4a+3
\n" ); document.write( "2b=-2+3=1
\n" ); document.write( "b=1/2
\n" ); document.write( "check:
\n" ); document.write( "4a-2b+c=-2-1+3=0
\n" ); document.write( "9a+3b+c=-9/2+3/2+3=0
\n" ); document.write( "equation: (-1/2)x^2+(1/2)x+3=0
\n" ); document.write( "-x^2/2+x/2+3=0
\n" ); document.write( "see graph below:
\n" ); document.write( " $\"+graph%28+300%2C+300%2C+-10%2C+10%2C+-10%2C+10%2C-x%5E2%2F2%2Bx%2F2%2B3%29+\"$ \n" ); document.write( "

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