Paper 1 · graph transformations

The diagram shows the graph of $y = f(x)$ , passing through $A(-1, 0)$ , $B(0, 1)$ and $C(1, 0)$ . On the graph of $y = f(-x) + 3$ , the image of $B$ is

(0, -2)

(0, 4)

(3, 1)

(0, 3)

Explanation:

y=f(-x)+3

reflects the curve in the

y

-axis and then translates it 3 units up.

B(0,1)

is unmoved by the reflection and rises to

(0, 1+3) = (0, 4)

Derived from ZIMSEC Mathematics Paper 1, June 2011, Q7

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