HOW LOW CAN YOU GO??
pg 344-46
#1-5 All
#11- 41 Odd
#50-53 All
Extra credit for the first few good explanations of #41 on the blog!
MANDATORY READ AHEAD (well, kinda behind, we skipped this) !!!
READ PAGES 333-37 AND WATCH THE SCATTERPLOT VIDEO TUTORS ON MATHCHAMBER!
pg 337-38 #1-7 ALL
Extra Credit Explanation for #41.
ReplyDeleteThey are similar because y=|x|+k is a translation of y=|x|. y=mx+b is a translation of y=mx. y=|x|+k is the same as saying y=|x| up k units. The same goes for y=mx+b. y=mx+b is the same as saying y=mx up b units.
I like it! There is room for embellishment (i.e. additional schtuff) if anyone else would like to take a turn.
ReplyDeleteEC for #41)-
ReplyDeleteBoth sets of equations represent relationships with vertical changes. Where a point of y=mx is 0 and one for y=mx+b is b, the same applies to y=lxl (0) and y=lxl +k (k as the distance from the x-axis). Both sets of equations can be changed to have different slopes and graphs, but k and b act the same way since they can change the equations' graphs to represent a translation upward or downward from the x-axis.
The are similar because k and b both show what the y slope intercept is. In slope intercept form it obviously shows the intercept but in y=IxI + k it also shows intercept because the x value is zero and k shows how low you can possibly go. In this case, on the y axis.
ReplyDeleteFor equations like y=-|x+3| does it mean that the graph would move left/negative like y=|x+3| would? But with the lines pointing down (I can't really put it into words)?
ReplyDeleteEC #41)
ReplyDeleteI think the relationship between y=|x| and y=|x|+k is similar to the formula for slope, y=mx and y=mx+b because they are both translations of the before. y=|x|+k is a translation of y=|x|, up k amount of units up the y axis. y=mx+b is a translation of y=mx, up b amount of units up the y axis. k & b both have the same action, moving the "bouncepoint" of the original equation.
I'm forgetting slope already...
ReplyDeleteFor #53, how do you figure out the x-intercept?
For extra credit #41:
ReplyDeleteThe k in y=|x|+k tells you where the vertex point will be; the b in y=mx+b tells you where the y-intercept will be. The relationship is that they both tell you where the line will hit the y-axis.
How do we solve #1 on pg 337 if we have no graphing calculator to find the equation?
ReplyDeleteNevermind about the equation.. I just looked in the book :)
ReplyDeleteI cannot find any differences between a line of best fit & a trend line, other than how they are figured out.
ReplyDeleteThis is Karel. Y=mx+b and y=IxI+k are similar because B represents the y intercept and k represents how many units up or down you move on the y axis
ReplyDeleteDear |X+3|,
ReplyDeleteThe graph of the equation y=-|x+3| is a reflection of the graph of the equation y=|x+3|, right? To put it into words... it is the opposite, yes?
Dear Trand-setters,
ReplyDeleteAs for the difference between a trend line and a line of best fit, you hit the nail on the head! A trend line is an estimated line that you draw as best you can. A line of best fit uses a special formula called a linear regression. You will learn more about the formula in a STATISTICS class, for now we will use a calculator to do the work for us.
Good job on the responses to #41!
ReplyDelete