Write 3+4x-2x² in the form a+b(x+c)², where a, b and c are integers.
- (a)Write 3+4x-2x² in the form a+b(x+c)², where a, b and c are integers.[3]
- (b)Hence write down the range of the function f(x) = 3+4x-2x², where x ∈R.[1]
Mark scheme
Marking points from the official mark scheme (May/June 2024). The mark or mark type is shown in brackets.
- [B3] Mark final expression
- [B2] for –2(x – 1)²
- [B1] for (x – 1)² or b = –2, c = –1
- [B1] for 5 + b(x + c)² oe with numerical values of b and c or a = 5
- [B1] f ≤ their 5
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