Mathematics 0580 · IGCSE · Sketching curves

Sketching curves — practice question

(a(i))[1]

On the grid, sketch the line $y=3$.

(a(ii))[2]

On the grid, sketch the line that is perpendicular to $y=3$ and goes through $(1,-4)$.

(b)[2]

Fill in the table of values for $y = 2 - 3x - x^2$.

(c)[4]

On the grid, sketch the graph of $y = 2 - 3x - x^2$ for $-5 \leq x \leq 2$.

(d)[1]

Give the coordinates of the highest point of the graph of $y = 2 - 3x - x^2$.

(e)[2]

Use your graphs to solve the equation $2 - 3x - x^2 = 3$.

Worked solution & mark scheme

This 12-mark question has a full step-by-step worked solution and mark scheme. One marking point: Continuous ruled line $y=3$

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