Mathematics 0580 · IGCSE · Sketching curves

Sketching curves — practice question

(a(i))[2]

Fill in the table of values for $y = -x^2 + 5x$.

(a(ii))[4]

Using the grid, sketch the graph of $y = -x^2 + 5x$ for $-1 \leq x \leq 6$.

(b)[1]

State the co-ordinates of the highest point on the graph.

(c)[2]

Use your graph to solve the equation $-x^2 + 5x = -3$.

(d(i))[1]

Using the grid, draw the line of symmetry for the graph.

(d(ii))[1]

State the equation of the line of symmetry for the graph.

(d(iii))[1]

Use the curve’s symmetry to determine the value of $k$.

Worked solution & mark scheme

This 12-mark question has a full step-by-step worked solution and mark scheme. One marking point: Answers: $0,\;6,\;6,\;-6$.

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