Equivocal Function Transformations

The last two posts were about transformations of functions (shift, stretch, reflect) and their effect on a graph, first individually and then in combination. The next thing to look at will be how to determine the transformations when you are given a graph; but before we take that challenge in general, we need to see …

Equivocal Function Transformations Read More »

Shifting and Stretching Graphs

A common topic in algebra courses is how to transform functions and their graphs. In the series starting today, we’ll start with the basics of how and why a graph is moved or stretched, then combine transformations and look at various special cases and other transformations, ending up with graphing trigonometric functions. Translating (shifting) a …

Shifting and Stretching Graphs Read More »

What It Takes to Be a Math Doctor

In the Ask Dr. Math service, new volunteers went through a period of training (“internship”), first demonstrating their ability to write effectively about math with some example problems, and then answering actual questions under supervision, discussing their answers with a mentor online before they were actually sent out. Once our reliability was confirmed, we were …

What It Takes to Be a Math Doctor Read More »

Why I Became a Math Doctor

While I was setting up The Math Doctors site a year ago, I ran across the following email I received in 1998 inviting people to become Math Doctors. It illustrates well the ethos of the team: In the fall of 1994 the Math Forum at Swarthmore College (then the Geometry Forum) started an email program …

Why I Became a Math Doctor Read More »