📈 Quadratic Graphs and Factorising

Master the core skills of quadratic functions, factorisation, and graph interpretation at GCSE level. **What you'll learn:** - Factorise quadratic expressions using various methods (trinomial, difference of squares, grouping) - Identify and interpret roots, vertex, and axis of symmetry on a quadratic graph - Solve quadratic equations by factorisation and complete the square - Apply quadratic functions to real-world problems and transformations

10 questions · play in your browser

No signup required — try it for free.

Questions in this quiz

Answers hidden — play to find out.

Question 1
Which of the following is the correct factorisation of $x^2 + 5x + 6$ ?
Question 2
The expression $x^2 - 9$ can be factorised as $(x - 3)(x + 3)$ .
Question 3
The quadratic equation $x^2 + 3x - 10 = 0$ has roots $x = ___$ and $x = ___$ .
Question 4
What is the vertex of the quadratic $y = (x - 3)^2 + 2$ ?
Question 5
A quadratic graph with roots at $x = 1$ and $x = 5$ must have its axis of symmetry at $x = 3$ .
Question 6
Factorise $2x^2 + 7x + 3$ as $(2x + ___)(x + ___)$ .
Question 7
Which quadratic equation has no real roots?
Question 8
When completing the square for $x^2 - 6x + 5$ , the result is $(x - 3)^2 - 4$ .
Question 9
Factorise $4x^2 - 25$ .
Question 10
Order these steps for solving $x^2 - 7x + 12 = 0$ by factorisation from start to finish.