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Graph Horizontal Functions - Example 4

In mathematics, a function is a relation between a set of inputs and a set of permissible outputs with the property that each input is related to exactly one output. An example is the function that relates each real number x to its square x. The output of a function f corresponding to an input x is denoted by f(x).

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information of a graph. This is a cosign graph, which means go ahead and draw our parent graphs, which would be right here. This would be a 90. This would be to 70. So basically a Zara's horizontally every units 45 degrees just to kind of give a reference point every two units is 90 degrees. So let's go ahead and do this, and we're gonna This is gonna be, ah, horizontal shift. We just need to decide which way is going to go. And we're gonna get that from that positive 1.5. This is the same A same minus a negative 1.5. So that means they're h is a negative 1.5, which means because it's negative, it's less than zero. So we're going to go to the left now, remember, negative 1.5 is the same as negative three over to. So if I want to change that Teoh degrees to help you on this, you can you can, So that would actually be negative. Three pi over two. So be the same missed or 270 degrees negative, 270 degrees. So we're gonna move it to the left that many times. So for every point. So we're gonna move it 270 degrees. So that means if I started the 270 degrees, I'm gonna move it over to zero 1 80. I mean, let's do 3, 63 60 minus 270 would be 90 degrees. Um, 1 80 1 80 minus 2 70 is going to be a negative. 90 degrees, 90 minus 2. 70 is going to be right there. So it would keep going and there would be my horizontal shift. And you can kind of once you do these a few times, you can kind of see the pattern and kind of know how much you need to move your points on the graph.