(a)The diagram shows a sketch graph of a quadratic function.
Find the equation of this curve. [3]
(b)The diagram shows the graph of the curve \(y = k^{x}\).
Find the value of the positive integer \(k\). [2]
Mark scheme (a)
Scheme
Marks
Comments
\(y = 2(x+1)(x-4)\) oe; ISW
B3
B2 for \(y = k(x+1)(x-4)\), where \(k\) is \(-2\) or any non-zero positive value e.g. 1 or B1 for a factor of \((x+1)\) or \((x-4)\) seen or implied
If no marks then SC2 for an answer of \(y = 2(x-1)(x+4)\) or equivalent or SC1 for an answer of \(y = k(x-1)(x+4)\) oe, where \(k\) is \(-2\) or any non-zero positive value e.g. 1
Mark scheme (b)
Scheme
Marks
Comments
Substitutes a pair of co-ordinates with non-zero \(x\) co-ordinate into \(y = k^{x}\)
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