Mathematics 0580 · IGCSE · Sketching curves

Sketching curves — practice question

(a)[2]

Complete the value table for $y = 5x - x^2$.

(b)[4]

On the grid, draw the graph of $y = 5x - x^2$ over $-1 \leq x \leq 6$.

(c)[1]

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

(d(i))[2]

Complete the value table for $y = 1.5x - 2$.

(d(ii))[2]

On the grid, draw the graph of $y = 1.5x - 2$ over $-1 \leq x \leq 6$.

(d(iii))[2]

Use your graphs to write down the values of $x$ that satisfy $1.5x - 2 = 5x - x^2$.

Worked solution & mark scheme

This 13-mark question has a full step-by-step worked solution and mark scheme. One marking point: $-6, 4, 4, 0$

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