Question 1101264
Use the general equation,
{{{y=ax^2+bx+c}}}
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(0,4)
{{{4=a(0)^2+b(0)+c}}}
{{{c=4}}}
(2,6)
{{{6=a(2)^2+b(2)+c}}}
{{{4a+2b+4=6}}}
1.{{{2a+b=1}}}
(-1,9)
{{{9=a(-1)^2+b(-1)+c}}}
{{{a-b+4=9}}}
2.{{{a-b=5}}}
Adding 1 and 2,
{{{2a+b+a-b=1+5}}}
{{{3a=6}}}
{{{a=2}}}
and then from 1,
{{{2(2)+b=1}}}
{{{4+b=1}}}
{{{b=-3}}}
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{{{y=2x^2-3x+4}}}
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*[illustration lpe1.JPG].