Grade 11 maths · F.3 · Functions
Evaluate a shifted function
Put the shifted input into f, then add the vertical shift.
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f(x) = 3x − 2. If g(x) = f(x − 1) − 4, find g(−3).
Answer: -18
f(x) = 2x + 1. If g(x) = f(x + 3) + 5, find g(0).
Answer: 12
f(x) = −3x − 4. If g(x) = f(x − 4) + 4, find g(1).
Answer: 9
Tip: Put the shifted input into f, then add the vertical shift.
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