Learn how a, h and k affect the graph of a function.
In this packet you will learn how a, h and k each affect the graph in a rational function. The movie on 'a' explains shifts of h and k. The next videos are examples of shifting asymptotes of h and k.
1. Draw table and Graph
2. Where is your a, h and k?
3. Will the asmyptotes shift? If so, in what direction? Draw in these shifts if applicable.
4. Pick numbers to put in for x to evaluate for y. Don't forget to use positives, negatives and fractions.
5. Substitute your x values in and solve for y.
6. What is your domain and range? ( if you get undefined when placing in an x value, this is your domain for x which is where h lies on the graph.) (range would involve k in the problem.)
7. Plot points found. 8. Draw a smooth connected line (or try) through all the points. You now have graphed hyperbolas for a rational function!
THERE IS NO SOUND, DON'T WORRY.
1) Set up your table and graph.
2) Identify the shifts that will occur in your graph. These will also be domain and range. h (orginates from where y axis is) being domain and k (originates from where x axis is) being range. Draw in the identified asymptote(s).
3) Put in values for x.
4) Solve for y with these values.
5) Plot points.
6)Connect together points with lines.
7) You have now graphed hyperbolas for a rational function.