00:00Now it's time for our absolute value graph questions, friends.
00:03The question asks to graph the function y = x + 3 (in absolute value).
00:08Let's start with this.
00:09Now y equals x plus 3 absolute values.
00:14First, I'm going to look at one critical point of this, folks.
00:17What's the critical point?
00:18The point where it intersects the x-axis.
00:20I'll check right away.
00:21If x plus 3 equals 0, then x equals minus 3.
00:26Right, guys?
00:28Yes.
00:28If x equals -3, then I'll move on to the function graph immediately.
00:36A breaking point is going to occur here.
00:41Now, what if my friend said, "Let's draw the graph of the function y equals x plus 3"?
00:49We try to understand Y equals x plus 3 from analytical geometry.
00:53How did we draw, guys?
00:54We were giving 0 instead of X.
00:55If x equals 0, our y is 3.
00:59If y equals 0, what is x equal to, guys?
01:07Minus 3.
01:08Okay everyone.
01:09Our Y is 3.
01:10Our X is minus 3.
01:12How was this going to happen, guys?
01:14The x-axis is as follows.
01:16The y-axis is as follows.
01:18We have now plotted the graph of Y equals x plus 3.
01:21But they want an absolute value graph from us.
01:24That's when we'll say...
01:30It's always that point, minus 3, right here, guys.
01:34The breaking point will be here.
01:36Since it's in absolute value, how do we determine the x-axis of the parts that lie below the x-axis, relative to that x-axis?
01:46We'll find its symmetry.
01:47I'll be right there.
01:51Minus 3.
01:54Let's write Y equals the absolute value of x plus 3.
01:58Isn't this number 3, guys?
01:59I'm coming all the way here.
02:00Look here, what does "symmetrical" mean, guys?
02:04Reflection.
02:05The distance between them will be equal, right guys?
02:09So, what do I do then, guys?
02:12I'm drawing it like this, from here.
02:15This forms the graph of y equals the absolute value of x plus 3.
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