Mathematics 0580 · IGCSE · Sketching curves

Sketching curves — practice question

A graph is displayed with the $x$-axis and $y$-axis labelled $x$ and $y$, and a straight line marked $L$ is drawn on it.
(a)[2]

Write down the equation for line $L$ in the form $y = mx + c$.

(b(i))[2]

Complete the value table for $y = x^2 - 3x - 3$.

(b(ii))[4]

On the grid, sketch the graph of $y = x^2 - 3x - 3$ for $-2 \leq x \leq 5$.

(c(i))[1]

Write down the coordinates of the lowest point on the graph of $y = x^2 - 3x - 3$.

(c(ii))[1]

On the grid, draw the line of symmetry for the graph of $y = x^2 - 3x - 3$.

(c(iii))[1]

Write down the equation of the line of symmetry.

(d)[1]

Write down the coordinates of the point where line $L$ meets the graph of $y = x^2 - 3x - 3$ for $x > 0$.

Worked solution & mark scheme

This 12-mark question has a full step-by-step worked solution and mark scheme. One marking point: The correct equation is $y = -2x + 3$

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