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# 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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graph of a cosine graph and this one a transformation is gonna be y equals one half cosign. Plus the one half. So first thing we need to find is what our horizontal shift will be. What? We're gonna get this from this positive one half. So that means we've had this. They've subtracted a negative one half is, which is why it's changed to a positive. So our horizontal shift is negative one half, which means since negative one half is less than zero, we're going to shift to the left. If you're not sure how much you're going to shift by, you can change this to radiance. You don't have to, but you can. So if I want to change this to radiance, I'm gonna have negative pi over two Tom's 1 80 over pie. And that's going to give me negative 1 80 over two, which would be negative 90 degrees or we're going to shift to the left 90 degrees. So from every angle, that's kind of like two units. So just to kind of review, this is 90 right here. This is 2. 70 right here. So that conflicts, you know, So I'm gonna shift over to the left, Basically two units to the left. Based on how I drew this, which would mean my graph would look like this right here. And if I even I could even kind of keep it going if I need to to kind of show the whole thing, but that's what my graph would actually look like. Liberty University

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##### Top Algebra 2 Educators ##### Lily A.

Johns Hopkins University ##### Martha R.

Michigan State University  ##### Heather Z.

Oregon State University