quadratic Functions and graphs
Contents
Contents
- Graphs of Quadratic Functions
- Graphs of y = (x – p)² + q , y = – (x – p)² + q.
- Graphs of y = (x – a)(x – b), y = – (x – a)(x – b)
- Graphs of y = 1/x², y = –1/x²
- Graphs of y = x3, y = –x3
Graphs of Quadratic Function
Graphs of Quadratic Function
A Quadratic Function is of the form y = ax² + bx + c (a, b and c are numbers and a ≠ 0).
If a>0, the graph is of U- shape and will have a minimum point.
If a<0, the graph is of inverted U - shape and will have a maximum point.
The graph will cross the y-axis at the point c and are symmetrical about vertical line that passes through maximum or minimum point.
y = (x – p)² + q , y = – (x – p)² + q
y = (x – p)² + q , y = – (x – p)² + q
y = (x – p)² + q will have a minimum point at (p , q) and symmetrical about the line x = p.
y = – (x – p)² + q will have a maximum point at (p , q) and symmetrical about the line x = p.
y = (x – a)(x – b), y = – (x – a)(x – b)
y = (x – a)(x – b), y = – (x – a)(x – b)
y = (x – a)(x – b)will intersect the x axis at x=a, x=b and will have a minimum point.
y = – (x – a)(x – b) will intersect the x axis at x=a, x=b and will have a maximum point.
y = 1/x², y = –1/x²
y = 1/x², y = –1/x²
y = x3, y = –x3
y = x3, y = –x3
