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

Model answer

(-1,0),(1,0),(2,0)

Also accepted: -1,1,2, (-1,0), (1,0), (2,0)

Explanation: A horizontal compression by factor

\tfrac12

halves every

x

-coordinate:

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

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

(4,0)\to(2,0)

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

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