IP2 Class Test (May 2025) Q12

IP2 Class Test (May 2025) Q12

IP 2
6 marks

Sketch the graph of \(y = (x - 1)(x + 5)\).

Indicate clearly the coordinates of points where the graph crosses the \(x\)- and \(y\)-axes, the coordinates of the turning point and write down the equation of the line of symmetry of the curve.[5]

Hence, or otherwise, solve the inequality \(x^2 + 4x - 5 \le 0\).[1]

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Answer:x-intercepts: (1,0) and (-5,0), y-intercept: (0,-5), turning point: (-2,-9), line of symmetry: x=-2. Inequality: -5 ≤ x ≤ 1

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