Mathematics 0580 · IGCSE · Sketching curves

Sketching curves — practice question

(a)[3]

Find the equation for line $L$. Write your answer in the form $y = mx + c$.

(b(i))[2]

Determine the value of $a$.

(b(ii))[2]

Determine the value of $b$.

(c(i))[3]

Fill in the missing entries in the table for $y = x(3 - x)$.

(c(ii))[4]

Use the grid to sketch the graph of $y = x(3 - x)$ for $-4 \leq x \leq 4$.

(c(iii))[1]

State the coordinates of the highest point of the graph for $-4 \leq x \leq 4$.

Worked solution & mark scheme

This 15-mark question has a full step-by-step worked solution and mark scheme. One marking point: $y = -\frac{1}{2}x + 3$

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