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Paper 2 · November 2025 · Functions and Graphs

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

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

x

-intercept left by 1:

(-2,0)\to(-3,0)

,

(2,0)\to(1,0)

,

(4,0)\to(3,0)

.

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

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