Ask your homework questions to teachers and professors, meet other students, and be entered to win \$600 or an Xbox Series X šJoin our Discord!

# 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).

#### Topics

No Related Subtopics

### Discussion

You must be signed in to discuss.
##### Alisa L.

University of Texas at Austin

AH
##### Ahyeon H.

University of California, Berkeley

##### Kristen K.

University of Michigan - Ann Arbor

### Recommended Quiz

#### Algebra 2

Create your own quiz or take a quiz that has been automatically generated based on what you have been learning. Expose yourself to new questions and test your abilities with different levels of difficulty.

### Video Transcript

trick function y equals to sign. Uh, we're gonna add 14 to our angle. Now, this one I've got ahead, and I've drawn our parent function, which is assigned function. So we're gonna shift. And so let's look at our H. And in this case, we're looking at this positive 1/4. Now, remember that typically, it's going to be written as minus h. But this one is written this plus eight. So this is means that this was written as the angle minus a negative 1/4 which is why it says plus one for so that means our H is a negative one fourth. So this means that negative 1/4 is less than zero. So this is going to shift to the left. Now, If you're not sure how much is shifting to the left, let's change it to degrees because this is in radiance. So remember to change degrees. I'm sorry to change radiance two degrees. We're gonna multiply it times 1 80 over pa and we're gonna change this 12 pi. So that's gonna cross that. And that's gonna leave me one negative 1 80/4, which is 45 degrees so we're going to shift to the left. 45 degrees. So, for every point we're gonna go to left now because my points are labeled, this is 90. This right here is to 70. So basically every unit is 45 degrees, so this will actually easier, so we'll shift over 45 degrees for every point to the left. So this one's gonna look similar to this line right here, and there's our horizontal shift.

Liberty University

#### Topics

No Related Subtopics

##### Alisa L.

University of Texas at Austin

AH
##### Ahyeon H.

University of California, Berkeley

##### Kristen K.

University of Michigan - Ann Arbor