Mathematics 0580 · IGCSE · Sketching curves

Sketching curves — practice question

(a(i))[2]

Complete the values table for $y = 2x^2 - 4x - 6$.

(a(ii))[4]

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

(b(i))[1]

On the grid, draw the line $y = 5$.

(b(ii))[2]

Use your graph to solve $2x^2 - 4x - 6 = 5$.

(c)[1]

Explain why $2x^2 - 4x - 6 = -9$ has no solutions.

(d(i))[1]

Write down the equation of the line of symmetry of $y = 2x^2 - 4x - 6$.

(d(ii))[1]

When $2x^2 - 4x - 6 = 64$, there are two solutions for $x$, $x = 7$ or $x = \dots$

Worked solution & mark scheme

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