Due to the similarity between sine and cosine functions, transformations of y = cos (x) to y = a cos (n x − b) + c have the same effects as transformations of y = sin (x) to y = a sin (n x − b) + c.

Graphs of quadratic functions can be used to solve equations. Example Draw the graph of y = 2 x 2 + 2 x 4 for values of –3 to 2. Use the graph to solve the equation y = 2 x 2 + 2 x 4. Solution ...

Linear functions are fundamental building blocks in mathematics and play a key role in solving real-world problems where the rate of change remains constant. Linear functions arise in a wide range of ...

National 5 Working with the graphs of trigonometric functions Phase angle Trigonometric graphs can be sketched when you know the amplitude, period, phase and maximum and minimum turning points.