Specialist2025 Exam 2 Section A · Q3CAS active1 mark

Rational function from asymptote and intercept

The graph of $y = \dfrac{x^2 + a}{bx + c}$ has an asymptote given by $y = -\dfrac{1}{2}x + \dfrac{1}{4}$ and a $y$ -intercept of $-2$ .

The values of $a$ , $b$ and $c$ are

1 mark

a = 2, b = -2, c = -1

a = 2, b = 2, c = -1

a = -2, b = -2, c = 1

a = -2, b = -2, c = -1

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