The curve $C$ with equation $y=\frac{a{{x}^{2}}+bx+c}{x+d}$ is shown below. It is known that&nbs

Question

The curve $C$ with equation $y=\frac{a{{x}^{2}}+bx+c}{x+d}$ is shown below. It is known that $C$, which has asymptotes at $x=4$ and $y=x$, cuts the $y$-axis at $-\frac{1}{4}$. Find the value of $a$, $b$, $c$ and $d$.

Accepted Answer

$a = 1, b = -4, c = 1, d = -4$

Graphing Techniques - Parameter Conditions for Graphs and Equations

Graphing Techniques - Parameter Conditions for Graphs and Equations

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