IB DP Maths: AA HL復(fù)習(xí)筆記2.2.1 Quadratic Functions
Quadratic Functions & Graphs
What are the key features of quadratic graphs?
The value of?a?affects the shape of the curve
-
- If?a?is?positive?the shape is?concave up?∪
- If?a?is?negative?the shape is?concave down?∩
- The?y-intercept?is at the point (0,?c)
- These can be found by
- Factorising
- Quadratic formula
- Using your GDC
- These are also called the?x-intercepts
- There can be 0, 1 or 2?x-intercepts
- This is determined by the value of the?discriminant
If?a?is?positive?then the vertex is the?minimum point- If?a?is?negative?then the vertex is the?maximum point
- These can be found by
What are the equations of a quadratic function?
How do I find an equation of a quadratic?
Exam Tip
- Use your GDC to find the roots and the turning point of a quadratic function
- You do not need to factorise or complete the square
- It is good exam technique to sketch the graph from your GDC as part of your working
Worked Example
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