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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AuthorHello, My name is Kaitlin and this is my blog. Archives
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