Thursday I come to class so nervous I will miss something and not be able to talk about it in the blog, so I took really good notes right from the start. This is what I have down,
Thursday: First blog day.
-Talked alot about the blog
-Nate set the bar really high
-Talking about what to comment on
Going over homework....
Page136 59, 63, 65, 67, 70-73
Question on 67.
y=sq.root of x
Then, we plugged in different numbers for x, like 0, 4, (and I said 16, but Lisa didn't want to draw that many lines on the graph) and 9.
That gave us a graph that looked like this:
New function --> y= sq. root -x shifts over y axis
y= sq.root -(x+2) moves it left 2
y= sqroot -(x+2)-1 down 1
Then we graphed it on the calculator to look at it.
Well, that is all I wrote down. The rest of class was spent working on a worksheet.
We were given f(x) or g(x) and had to sketch each transformation on the same coordinate axes.
They were pretty straight forward, but most of them took many steps.
I found 8b to be annoying. It had four steps total.
8b) -1/2f(x-1) + 5
So.. this will be difficult because I can't decide if I want to upload this graph with my answer on it or just look at the transformation...Let's look at the transformation first.
-1/2 f (x-1) + 5 Flip over x-axis
-1/2 f (x-1) + 5 Divide by 2
-1/2 f (x-1) + 5 Shift right 1
-1/2 f (x-1) + 5 Shift up 5
*Remember, the -1 goes the opposite direction, +1, but the +5 outside the parentheses doesn't switch
Here is the final picture (my line looks off, not sure why, but hopefully it is close to the right shape)
So Colby wasn't lying, Big Comfy Couch is a real show.
On Friday, we didn't do much. We went over our homework which was on page 136 and #76-83 and 86-89.
Most of class was spent working on our homework which is a worksheet of graded problems. The sheet covered symmetry and transformations. I'll show a couple examples from the sheet, but Friday's class was mostly wrapping up this unit.
On the handout:
25) Sketch a graph that is symmetric with respect to both the x-axis and the y-axis
26) Sketch a graph of a function that is symmetric with respect to the origin
28) Determine whether the graph of the given equation is symmetric with respect to the x-axis, y-axis or the origin.
5y=7x2-2x
y-axis Test: 5y=7(-x)2-2(-x)
5y=7x2+2x
No
x-axis Test: 5(-y)=7x2-2x
-5y=7x2-2x
No
Origin Test: 5(-y)=7(-x)2-2(-x)
-5y=7x2+2x
No
As a reminder of the tests:
The y-axis test: plug in -x for all x's
The x-axis test: plug in -y for all y's
The origin Test: plug in both -y and -x
I didn't get very far in the homework in class, but if anyone has any trouble with it, page 153 in the book was very helpful!
And this is now the end of my blog.
Phoebe, you get credit for the first cat video and who knew… Big Comfy Couch (it looks just like Colby described). Your post was a nice recap of what we did in class each day. I liked that you included some of the problems you did from the worksheet and graded sheet. Your description of how to do all the transformations in the "annoying 8b" were right on. However, two of your points ended up in the wrong location, each just off by a bit. The point (2,2) should go to (3,4) and the point (10,-3) should go to (11,8.5). Your post would have been enhanced by referencing the page numbers in the book that cover this material or including a video that discusses symmetry or transformations. Overall, though, nicely done.
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