Quadratic & Other Graphs
Quadratic: U-shape (parabola), has turning point.
Cubic: S-shape. Reciprocal: two branches.
Circle: \(x^2 + y^2 = r^2\), centre at origin.
Example
Example: \(y = x^2\) is a U-shaped parabola.
Example: \(y = \dfrac{1}{x}\) has two curved branches.
Example: \(x^2 + y^2 = 25\) is a circle with radius 5.
Practice
The graph of \(y = x^2\) is a:
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