Question 193342: We're doing Translation.
It asks What happens to the vertex in the following equations as they are translated?
A) y= |x| changes to y=|x+2|
I entered it into my graphing calculatorl, but how do I set it up into the question?
Answer by RAY100(1637)   (Show Source):
You can put this solution on YOUR website! the problem is difference of y=|x| and y=|x+2|
we might say that the second function is translated left 2
graphing calc might help, but by hand
draw x-y coordinates,,,plot y=|x|,,by using t box,, x=0,y=0, x=2, y=+/-2,, etc
this is a large "less than symbol", vertex at (0,0)
if we do the same for y=|x+2|,,x=0, y=+/-2,,,x=-2,,y=0,,, etc
this is again a large "less than symbol",, but vertex is at x=(-2,0)
or it is shifted 2 left
note:
in general we will experience translations as (x+2) shift left2, or (x-2) shift right, for other functions as well, parabolas, sin, cos,,etc
the ( y+2) counterpart is a shift down 2,,,and (y-2) is a shift 2 up.
However we normally put y shifts on other side of equal sign,
for instance y=5x +60,,, this is a shift of 60 up,and y=5x-60, is a shift down 60.
Just take it one step at a time.
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