Funny Face Graph using Parent Functions

ethicaldesign
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Homework Statement


Create a funny face using the specified parent functions.


Homework Equations


Linear
Quadratic
Cube
Square root
Absolute value
Semicircle


The Attempt at a Solution


I realized that I can use the square root function as eye brows and maybe a semicircle as a chin or partial nose, but I have a problem bringing everything together. Thank You
 
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Once you know what kind of functions you're going to use for what, try drawing it on a graph. Then for each individual piece, look at what you've drawn vs. what the graph of, for example, a normal y=\sqrt{x} graph looks like. You'll need to shift the graph horizontally and vertically, as well as maybe stretch it horizontally and vertically to make it fit where you want it to
 
There are two things I don't understand about this problem. First, when finding the nth root of a number, there should in theory be n solutions. However, the formula produces n+1 roots. Here is how. The first root is simply ##\left(r\right)^{\left(\frac{1}{n}\right)}##. Then you multiply this first root by n additional expressions given by the formula, as you go through k=0,1,...n-1. So you end up with n+1 roots, which cannot be correct. Let me illustrate what I mean. For this...
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