June 2023 Paper 2 Q1

AQACurrent spec1 markQuadratics

1 The graph of \(y = ax^2 + bx + c\) has roots \(x = 2\) and \(x = 5\), as shown in the diagram below.

U-shaped parabola crossing the x-axis at x = 2 and x = 5, with its minimum point below the x-axis

State the set of values of \(x\) which satisfy

\[ax^2 + bx + c \gt 0\]

Tick (✓) one box. [1 mark]

  • \(\{x : x \lt 2\} \cup \{x : x \gt 5\}\)
  • \(\{x : 0 \lt x \lt 2\} \cap \{x : x \gt 5\}\)
  • \(\{x : 2 \lt x \lt 5\}\)
  • \(\{x : 2 \gt x \gt 5\}\)
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