Mathematics 0580 · IGCSE · Sketching curves

Sketching curves — practice question

(a(i))[2]

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

(a(ii)(a))[2]

Fill in the table.

(a(ii)(b))[1]

On the grid, sketch the graph of $y = 8 - 2x$ for $0 \le x \le 4$.

(a(iii))[1]

Find the coordinates of the point where line $L$ meets the graph of $y = 8 - 2x$.

(b(i))[2]

Fill in the table.

(b(ii))[4]

On the grid, sketch the graph of $y = x^2 - 4x - 4$ for $-2 \le x \le 6$.

(b(iii))[1]

Write down the equation for the graph's line of symmetry.

(b(iv))[2]

Use the graph to solve $x^2 - 4x - 4 = 0$.

Worked solution & mark scheme

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

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