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Question
Select the correct answer from given alternatives
If f(x) = 2x2 + bx + c and f(0) = 3 and f(2) = 1, then f(1) is equal to
Options
–2
0
1
2
Solution
0
Explanation;
f(x) = 2x2 + bx + c
f(0) = 3
∴ 2(0) + b(0) + c = 3
∴ c = 3 ....(i)
f(2) = 1
∴ 2(4) + 2b + c = 1
∴ 2b + c = –7
∴ 2b + 3 = – 7 ...[From (i)]
∴ b = – 5
∴ f(x) = 2x2 – 5x + 3
∴ f(1) = 2(1) – 5(1) + 3 = 0
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