Lately on Desmos we have been working with functions and "parent functions". Parent functions are the starting point of all other equations you could make using these as a place to base your function on. The functions we have learned about are: f(x)=x f(x)=x^2 f(x)=x^3 f(x)=|x| f(x)=√x To make a function move up or down you just need to add or subtact the number away from the origin it is from the function. You need to do this OUTSIDE the parent. Here are 2 examples of this for each function: y=|x|+2 y=x^2+2 y=√x +2 y=x^3+2 y=x+2 .....To move UP y=|x|-2 y=x^2-2 y=√x -2 y=x^3-2 y=x-2 ..... To move DOWN To make a function move left or right you just need to add or subtract the number away from the origin it is from the function. You need to do this INSIDE the parent. Also, take note of "left right lies" To move left you add, and to move right you subtract. Here are 2 examples of this for each function: y=|x+2| y=(x+2)^2 y=√(x+2) y=(x+2)^3 y=(x+2) ..... To move LEFT y=|x-2| y=(x-2)^2 y=√(x-2) y=(x-2)^3 y=(x-2) ...... To move RIGHT To make a function steeper or less steep you need to multiply. To make it steeper you multiply by a number greater than 1. To make it less steep you multiply by a number between 0 and 1. Here are 2 examples of this using the y=x parent: y=2x.....STEEPER y=.25x.......LESS STEEP Now as a final example I will show you how to make a V shape steeper, left 2 and down 4. You start with the parent function y=|x| because this function makes the shape of a V. Then to make it steep you multiply the X by 4 let's say. Then to go left 2 you need to add 2 inside the absolute value lines. Finally to go down 4 you need to subtract 4 from the outside of the absolute value lines. Your equation should come out like this and the graph that goes with this equation looks like this: y=4|x+2|-4
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desmos.com Desmos is a free website that is a graphing calculator. In this I will tell you how to do some of the things Desmos offers. When you get to desmos it will look like this: To make an equation into a table, you need to first type your equation into the left side area. Then click on the gear that is in the top right hand corner of the typing area, then click the symbol that looks like a table after this to create your table. Then you can edit the table as you need to. To find an intersection point find where the two line intersect, click on your graphed line at that point, then read the coordinates. To send a screenshot you will need to make an account. I did so by connecting desmos to my google account. Once you've done this you click on the green button to the right at the top. This will then open up like so: You can choose any way to share it but if you select image it will open a new tab where you can download the screenshot of your graph and email it, share it, or save it to your computer.
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AuthorHello, My name is Kaitlin and this is my blog. Archives
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