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 ...

All quadratic functions have the same type of curved graphs with a line of symmetry. The graph of the quadratic function \(y = ax^2 + bx + c \) has a minimum turning point when \(a \textgreater 0 ...

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 ...