Absolute value graph plus#

Inside the absolute value sign at x equals zero. The absolute value sign, just as if you didn't shift it, you would have had zero And at x equals negative three, you have zero inside This upward sloping line right over here. Gonna get a positive value and so that's why you have Now for x is greater than negative three, when you add three to it, you're

That's why you have thisĭownward line right over here. Take it's opposite value and so that makes sense. Below x equals negative three, for x values less than negative three, what we're gonna have here, is this inside of the absolute value sign, is going to be negative and so then we're gonna Value sign is negative, we're gonna have a slope ofĮssentially negative one. Value sign is positive, we're going to getĮssentially, this slope of one. When whatever we have inside the absolute So if we shift three to the left, it's gonna look something like. And we're gonna do that right now and then we're gonna just gonnaĬonfirm that it matches up. Subtracting from this x, that is how much you are shifting it. You could view this as the same thing as y is equal to the absolute

Absolute value graph plus#

If you replace your x, with an x plus three, this is going to shift your So the next thing I wanna graph, let's see if we can graph y. And what they've already graphed for us, this right over here, this is the graph of y is equal To graph f of x is equal to two times the absolute value