Mathematics 0580 · IGCSE · Sketching curves

Sketching curves — practice question

(a(i))[3]

Complete the values table for $y = -x^2 + 8x + 1$.

(a(ii))[4]

On the grid, draw the graph of $y = -x^2 + 8x + 1$ for $0 \leq x \leq 8$.

(a(iii))[1]

Write down the equation of the line of symmetry of the graph.

(b(i))[2]

On the grid, draw this line for $0 \leq x \leq 8$.

(b(ii))[2]

Write down the equation of this line in the form $y = mx + c$.

(b(iii))[2]

Write down the coordinates of the points where this line intersects the graph of $y = -x^2 + 8x + 1$.

Worked solution & mark scheme

This 14-mark question has a full step-by-step worked solution and mark scheme. One marking point: Ordered values: $1,8,16,16,8$

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