Mathematics 0580 · IGCSE · Sketching curves

Sketching curves — practice question

The table gives some values of $y = 2x^2 + 5x - 3$ for $-4 \leq x \leq 1.5$.
(a)[3]

Complete the table.

(b)[4]

On the grid, sketch the graph of $y = 2x^2 + 5x - 3$ for $-4 \leq x \leq 1.5$.

(c)[2]

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

(d)[3]

The expression $y = 2x^2 + 5x - 3$ can be rewritten in the form $y = 2(x + a)^2 + b$. Find the value of $a$ and the value of $b$.

Worked solution & mark scheme

This 12-mark question has a full step-by-step worked solution and mark scheme. One marking point: 9, -6, and 9

  • Full mark scheme, point by point
  • Step-by-step worked solution
  • Write your answer & get it marked instantly by AI