document.write( "Question 426420: I am asked to create a quadratic function, y=f(x), that satisfies the following conditions:\r
\n" ); document.write( "\n" ); document.write( "f(7)=2, f(-5)=-10, and y-intercept is (0,6)\r
\n" ); document.write( "\n" ); document.write( "NO clue where to begin. I know I could do something if I had the x-intercepts. But what I start with is:\r
\n" ); document.write( "\n" ); document.write( "6=ax^2+bx+c , but then I come up with 6=c and I feel like I just need a starting point.\r
\n" ); document.write( "\n" ); document.write( "I was not tought this in my current class, supposedly this is suppose to be prerequisite homework...\r
\n" ); document.write( "\n" ); document.write( "Thanks for any help...Kate \n" ); document.write( "

Algebra.Com's Answer #296621 by Alan3354(69443) $\"\"$ $\"About$

You can put this solution on YOUR website!
f(x) = ax^2 + bx + c
\n" ); document.write( "Find a, b & c is the problem.
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\n" ); document.write( "c = 6, the y-intercept, because
\n" ); document.write( "f(0) = 6
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\n" ); document.write( "f(7) = 49a + 7b + 6 = 2
\n" ); document.write( "f(-5) = 25a - 5b + 6 = -10
\n" ); document.write( "Now it's 2 eqns with 2 variables, a & b.
\n" ); document.write( "Can you finish it?
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\n" ); document.write( "I get f(x) = -11x^2/35 + 57x/35 + 6
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