Investigate vertical stretches and reflections through the x-axis of a function.

• Students will recognize the effect of a vertical stretch, vertical compression, and reflection through the x-axis on the graph of a function.
• Students will relate the transformation of a graph y = f(x) to the symbolic representation of the transformation. In other words, y = a ∙ f(x) may vertically stretch or compress and/or reflect through the x-axis.

• vertical stretch
• vertical compression

This lesson involves investigating vertical stretches, vertical compressions, and reflections through the x-axis of a function. Students will learn to recognize how transformations of the form y = a*f(x) change the graph of y = f(x).