Linear Graphs M and C

Understand how altering the values of $m$ and $c$ affects the graph of $y = mx + c$.

To understand how $m$ and $c$ affects the graph of $y = mx + c$ consider either of the following sequence of transformation. You will need to use your knowledge of graph transformations that we discussed above and make use of a graph sketching package too to enhance your understanding:

Exercise

How did you deal with $y = x \rightarrow y = x + c$ above? Did you use $f(x) + c$ or $f(x + c)$?

Pick some pairs of values for $m$ and $c$ and then follow though the graph transformations above step by step using a graph sketching package.