Mathematics 0580 · IGCSE · Sketching curves

Sketching curves — practice question

(a)[1]

State the equation of line $L$ in the form $y = mx + c$.

(b)[3]

Determine the value of $a$.

(c(i))[2]

Fill in the table of values for $y = x^2 - 6$.

(c(ii))[4]

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

(c(iii))[1]

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

(c(iv))[1]

From your graph, solve the equation $x^2 - 6 = 0$ for $x > 0$.

Worked solution & mark scheme

This 12-mark question has a full step-by-step worked solution and mark scheme. One marking point: $y = 4x + 3$.

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