Quick Check Solutions
1) Changing the \(A\) value vertically stretches or compresses the graph of the parent function, and if \(A\) is negative, the graph reflects over the x-axis. \(A\) is called the amplitude of the function.
2) Changing the \(w\) value (which technically is a horizontal stretch or compression) affects the period of the function. (It acts like an accordion, the larger the \(w\) value, the more frequently the graph will repeat over a specific domain, and the smaller the \(w\) value, the less frequently it will repeat over the same domain. We will not consider negative values at this time).
3) Changing the \(k\) value provides the vertical shift of the midline (which is the x-axis for the parent function).
1) Changing the \(A\) value vertically stretches or compresses the graph of the parent function, and if \(A\) is negative, the graph reflects over the x-axis. \(A\) is called the amplitude of the function.
2) Changing the \(w\) value (which technically is a horizontal stretch or compression) affects the period of the function. (It acts like an accordion, the larger the \(w\) value, the more frequently the graph will repeat over a specific domain, and the smaller the \(w\) value, the less frequently it will repeat over the same domain. We will not consider negative values at this time).
3) Changing the \(k\) value provides the vertical shift of the midline (which is the x-axis for the parent function).