Mathematics 0580 · IGCSE · Graphs of functions

Graphs of functions — practice question

The diagram depicts the graph of $y = x^2 - 2x - 3$. It intersects the $x$-axis at $(-1, 0)$ and $(3, 0)$. The figure is labelled NOT TO SCALE.
(a)[1]

Find the equation for the graph’s line of symmetry.

(b(i))[1]

Show that $k$ has the value 21.

(b(ii))[1]

Find the value of $p$ from this graph.

(c)[1]

Write down the $y$-coordinate of the point at which the graph meets the $y$-axis.

Worked solution & mark scheme

This 4-mark question has a full step-by-step worked solution and mark scheme. One marking point: The equation is $x=1$.

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