Hi. I am professor Blake Keats and I am going to be
discussing the different types of transformations. The different types include
reflections, shifts, stretches, and compressions.
Reflections can occur about the x or the y-axis. The way to
determine whether a function is going to complete an x-axis reflection is if
there is an outside change to the formula of the function while a reflection
about the y-axis occurs if there is a change inside of a formula. During a
reflection over the y-axis, the y coordinate stays the same and the x
coordinate becomes opposite of the original x coordinate.
A vertical shift in a graph can be determined by the
constant “k” within the formula y=g(x)+k or y=g(x)-k. +k indicates a vertical
shift upward on the y-axis by k
units and –k indicated a vertical shift downward on the y-axis by k units.
Horizontal stretches and compressions are controlled by
whether or not the value of k is less than or greater than 1. If the value is
less than 1, there is a horizontal stretch. If the value of greater than 1 then
there is a horizontal compression.
The graphs are really clear and easy to understand. You did a good job!
ReplyDeleteYour explanations are very concise and well thought out. Great work!
ReplyDeleteblake,
ReplyDeleteyou lesson is good and the graphics really help to see how transformations work. also, i like that you correctly showed the formulas for the transformations that you were explaining. the only thing that would have been nice to see would be a real world application for this concept. otherwise, nice job. =]
professor little