Translate

Monday, February 24, 2014

February 24, 2014

Its Ria (Ree-uh). :)) 
     Today we covered a lot of things since we had 2 periods. But I wont talk about everything because it will take up a lot of space and i don't think anyone would want to read a long worded MATH stuff. * Also, just a heads up, i hate putting math into words, so if the context doesn't make sense don't read any further before it confuses you. 

In the morning class, we went through the assignments from our booklet.The most important part that we learned was how to Translate/Reflect/Transform a graph all at once. This one will definitely help you with our hand-in assignment.  
For Example: 

f(x) = 2f(3(x-1))+4 

a = 2, b = 3 , h = -1, k = 4 therefore, both x and y values are affected.

Step 1:   Multiply your y values by 2, then add 4. (Note: You read "k" as is)

Step 2:   Now, you have to multiply the x values by the reciprocal of 3, which becomes 1/3, OR you can just divide it by 3, and then add 1. (Note: "h" is read opposite, from subtracting to adding)

Then you can sketch your graph with your new coordinates! 

** Remember not to mix up your operations. Do the multiplying first, then do the vertical and/or horizontal stretches. Yes, it does make a difference.

I thought this chart would be helpful:



We got a worksheet called "Do you understand the main concepts of Basic Transformations".

We also talked about the Transformation Golf Project. It was a long one so talk to Mr. P if you missed it.

Moving on, during the 2nd period we did a recap on the absolute value of a function. Absolute is when you turn the negative values to a positive, which results a flip or a reflection on the x axis.
We also learned how to write an equation of the transformed graph by analyzing the coordinates of 2 graphs, f(x)/g(x).
Then, we went on how to inverse a relation. I'll make it easier for you. All you have to do is switch/flip your x and y values. 
              example: (-5,1) => (1,-5). 
Easy right? Same goes for the Domain and Range.

Ex:          D: {x | -5 ≤ x ≤ 4, xER}
               R: {y | 1  x  5, yER}
                           to
                D: {x | 1 ≤ x ≤ 5, xER}
                R: {y | -5  x  4, yER
At the end of class we got our TESTS back. :/ But before we got those tests back we did our daily dose of selfies/selvies with Mr. P. HAHA Its the new trend by KENNETH! So keep the trend going, next blogger! 


I never realized putting numbers and formulas into context can be this hard. Pardon the errors you spot! *fingers crossed*. 

Thats all. :)) Have a wonderful day!

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