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Tangent line to quadratic at given point

1100BeginnerCalculusQuadratic Equations

17. tekmovanje dijakov srednjih tehniških in strokovnih šol v znanju matematike

Determine the values of the parameters $a$ and $b$ so that the line with equation $y=3 x+5$ is tangent to the graph of the function $f$, $f(x)=a x^{2}+b x$, at the point with abscissa $-1$.
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