Graphs — O/L Mathematics

What must I remember about Graphs?

• Quadratic graph standard form: y = ax² + bx + c (parabolic curve).
• Shape of parabola: If a > 0, the curve is concave upwards (U-shaped) possessing a Minimum turning point; if a < 0, concave downwards (inverted U) possessing a Maximum turning point.
• Axis of symmetry: The vertical line passing through the vertex, given by x = -b / (2a).
• Roots of the equation: The x-coordinates of the points where the graph intersects the x-axis (where y = 0).
• Sign of quadratic function: Values of x for which the graph lies above the x-axis represent y > 0; values where it lies below represent y < 0.

Test yourself (1 minute)

1. Coordinates of turning point

   Always write the turning point as an ordered pair (x, y) with both coordinates clearly stated.

2. Smooth parabolic curve

   Plot points accurately and connect with a continuous smooth curve; NEVER join plotted points with straight ruler lines.

3. Interval of increase/decrease

   State intervals with correct inequality signs (e.g., 'function increases for x > 1').

Practise Graphs questions today

Source: NIE G.C.E. (O/L) Mathematics Syllabus (Grade 11, Unit 12)

What should I study first?

What comes next?

Next in the syllabus

Where does Graphs fit in the syllabus?

Grade 11 · Term 2