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blogggs

Question: Start a blog in which to record your thoughts about precalculus mathematics. Your first entry should discuss include the things listed here.

• Sketches of graphs from real-world information
• Familiar kinds of functions from previous courses and from this unit
• How to dilate and translate the graph of a function
• Any difficulties or misconceptions you have but overcame
• Any topics about which you are still unsure

Answer: This is an example of a thinking, braking, and stopping graph. This is something we went over in class and I found difficult. However I understand it more now.

This is an example of a rider on a ferris wheel. On the x axis is the time spent on the ride, and on the y axis is how high the rider is at that time.

  

One familiar function that we are working with this year that we also started working with last year are exponential functions. Another obvious kind of function that we have been talking about since Algebra 1 are parabolas. We also started talking about power functons which we also began talking abotu in Algbra 2.

Translating and dialating now seems very simple to me. However I find it kind of hard to explain, so I hope my explination makes since. First I will start off with how to translate a function vertically. To translate a  function vertically you have to move the point of origin either nagative or positive in a vertical way. To do this you have to add or subtract form an equations y values. For example f(x)+c would move the graph vertically positive c units. For a horizontal tranlation it is a little different. To change a graph horizontally you have to change the equations x values. For example f(x-c) would move the graph horzontally positive c units.     

A translation does not change the shape of a graph, but a dialation does. To preform a vertical dialation you have to multiply by an equations y value. For example g(x)=2f(x) would dialate the graph vetically times two. To dialte something horizontally you have to multiply times an equations x values. For example g(x)=f(1/2x) would make a graph twice as big vertically.

I found graphing real life events without equations difficult, but now that we have had so much practice with them I find them a lot easier.

I am still unsure with some of the homework and graded assignment we did today in class so I am going to come in tommorrow and hopefully get some help with it.