AQA · Mathematics · 8300
GCSE Maths: Quadratic graphs: sketching using key points
Algebra · AQA GCSE Maths (8300). Cards are generated from the Corbettmaths textbook exercise for Quadratic graphs: sketching using key points (Corbettmaths Video 265), and every card links back to the exact page it came from. Practice tests generate fresh variations of these questions, so the numbers change every attempt. Source material © Corbettmaths — used with attribution.
8 flashcards · Free to study · No account needed
Study this deck
Preparing your cards…
All questions and answers
Read through the full deck, or practise recalling each answer above.
How do you find where a quadratic graph crosses the x-axis?
Show answer
Set y = 0 and solve the resulting quadratic equation.
What does it mean when a quadratic equation has no real roots?
Show answer
The graph of the quadratic does not cross or touch the x-axis.
For the quadratic y = ax² + bx + c, what is the y-intercept?
Show answer
c (the constant term)
What is the discriminant of a quadratic equation ax² + bx + c = 0?
Show answer
b² − 4ac
How does the discriminant b² − 4ac tell you if a quadratic graph crosses the x-axis?
Show answer
If b² − 4ac < 0, the graph does not cross the x-axis (no real roots). If b² − 4ac ≥ 0, the graph crosses or touches the x-axis.
For a quadratic in factored form y = (x − p)(x − q), where does the graph cross the x-axis?
Show answer
At x = p and x = q (the values that make each factor zero).
What shape does the graph of y = −x² + bx + c have compared to y = x² + bx + c?
Show answer
It is an upside-down parabola (opens downward) instead of opening upward.
What are the minimum key points needed to sketch a quadratic graph?
Show answer
The y-intercept, the x-intercepts (if they exist), and the general shape (upward or downward opening).
Want to create your own cards? Create a free account. AI generation uses credits.