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Paper 2 · Functions and Graphs

The graph y=f(x)y=f(x) has xx-intercepts (2,0)(-2,0), (2,0)(2,0) and (4,0)(4,0). State the xx-intercepts of y=f(x+1)y=f(x+1).

Model answer

(-3,0),(1,0),(3,0)

Also accepted: -3,1,3, (-3,0), (1,0), (3,0)

Explanation: A horizontal translation left by 1 shifts every xx-intercept left by 1: (2,0)(3,0)(-2,0)\to(-3,0), (2,0)(1,0)(2,0)\to(1,0), (4,0)(3,0)(4,0)\to(3,0).

Derived from ZIMSEC Pure Mathematics Paper 2, November 2025, Q2

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