2.5.5

Graphs of Common Functions 1

Test yourself

Common Functions

To sketch a graph, see if it is linear, quadratic or cubic. Then plot some x and y coordinates and join them up in the right shape.

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Linear

  • Linear functions are straight lines in the form y = mx + c.
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Quadratic

  • Quadratic functions have an x2 term.
  • They are in the form y = ax2 + bx + c.
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Cubic

  • Cubic functions are in the form y = ax3 + bx2 + cx + d.
  • If a > 0, it starts in the bottom left and goes up to the right.
  • If a < 0, it starts in the top left and goes down to the right.

Jump to other topics

1Proof

2Algebra & Functions

2.1Powers & Roots

2.2Quadratic Equations

2.3Inequalities

2.4Polynomials

2.5Graphs

2.6Functions

2.7Transformation of Graphs

2.8Partial Fractions (A2 Only)

3Coordinate Geometry

4Sequences & Series

5Trigonometry

6Exponentials & Logarithms

7Differentiation

8Integration

9Numerical Methods

10Vectors

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