This key facts covers Key Features of Quadratic Graphs within Quadratic Graphs for GCSE Mathematics. Revise Quadratic Graphs in Graphs for GCSE Mathematics with 14 exam-style questions and 12 flashcards. This is a high-frequency topic, so it is worth revising until the explanation feels precise and repeatable. It is section 4 of 9 in this topic. Use this key facts to connect the idea to the wider topic before moving on to questions and flashcards.
Topic position
Section 4 of 9
Practice
14 questions
Recall
12 flashcards
Key Features of Quadratic Graphs
Vertex (Turning Point)
- For y = ax² + bx + c: x-coordinate = -b/(2a)
- Substitute back to find y-coordinate
- Minimum when a > 0, Maximum when a < 0
Y-intercept
- Set x = 0: y = c
- Always at point (0, c)
X-intercepts (Roots)
- Set y = 0: Solve ax² + bx + c = 0
- Methods: Factoring, quadratic formula, completing the square
- Can have: 2 roots, 1 root (repeated), or no real roots
Axis of Symmetry
- Vertical line: x = -b/(2a)
- Passes through vertex
- Parabola is symmetric about this line