Evaluate a shifted function

Year 12 maths · Fieldbook Learning

Name ______________________ Date __________

Put the shifted input into f, then add the vertical shift.

f(x) = 2x − 5. If g(x) = f(x − 1) + 3, find g(2).
f(x) = 3x + 4. If g(x) = f(x − 4) + 5, find g(−3).
f(x) = 3x − 3. If g(x) = f(x − 1) − 1, find g(−1).
f(x) = −2x − 4. If g(x) = f(x − 5) + 3, find g(−2).
f(x) = 2x − 1. If g(x) = f(x + 5) − 1, find g(3).
f(x) = −3x − 3. If g(x) = f(x − 2) + 1, find g(−3).
f(x) = −3x − 5. If g(x) = f(x + 2) − 5, find g(−2).
f(x) = x − 5. If g(x) = f(x + 3) + 6, find g(−3).
f(x) = x² + 4x + 4. If g(x) = f(x − 1) − 1, find g(1).
f(x) = 2x² + 3x − 4. If g(x) = f(x − 1) + 6, find g(1).
f(x) = 3x² − 4x. If g(x) = f(x + 1) − 5, find g(−2).
f(x) = 2x² − 3x + 1. If g(x) = f(x + 5) − 5, find g(2).
f(x) = −2x² − 2x. If g(x) = f(x − 1) − 1, find g(4).
f(x) = −3x² − x − 5. If g(x) = f(x + 2) − 4, find g(−2).
f(x) = −2x² + 4x + 2. If g(x) = f(x − 2) + 3, find g(5).
f(x) = 3x² + 3x + 2. If g(x) = f(x + 3) − 4, find g(5).
f(x) = −3x² − 4x + 1. If g(x) = f(x + 3) − 4, find g(−5).
f(x) = −x² + 2x − 2. If g(x) = f(x + 5) + 3, find g(−2).
f(x) = −2x² − x + 1. If g(x) = f(x + 1) − 3, find g(−1).
f(x) = −3x² − 5x + 3. If g(x) = f(x + 2) − 1, find g(0).

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Answer key: Evaluate a shifted function