Week 13 – Graphing reciprocal functions

This week we’ve gone through even more about graphing, and I’ve learned how to graph reciprocal functions slopes over normal linear and parabolas. (I feel like there’s never an end to graphing knowledge, or is there?)

In below will be two graphs, one being a normal parabola and the other one being the reciprocal function slope(s) over the parabola.

For example, one question gave me , so I decided to turn it back into its standard form .

Now we’ll add the reciprocal function, which is: ,to the graph, overlaying the parabola (in blue). To graph this, we first must plot down every coordinate which has a y-coordinate of -1 and 1 (y=-1 & 1), and now draw a smooth curve over said points on the graph and you will get this:

We can also find a lot of other useful info as well, for example, we can see 2 Vertical Asymptotes (Finding the midpoint of any 2 reciprocal function curve, the dotted black line in the above graph), .