# Funny Face Graph using Parent Functions

• ethicaldesign
In summary, when creating a funny face using parent functions, it's important to know which functions to use for each feature. Drawing it on a graph can help with visualizing and adjusting the placement and size of each function.
ethicaldesign

## Homework Statement

Create a funny face using the specified parent functions.

Linear
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

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

## 1. What is a funny face graph using parent functions?

A funny face graph using parent functions is a type of graph where the basic shape or "parent function" is modified to resemble a face or other recognizable object. It is often used as a visual aid in teaching mathematics, particularly in the study of transformations of functions.

## 2. What are some common parent functions used to create a funny face graph?

Some common parent functions used to create a funny face graph include linear functions, quadratic functions, cubic functions, square root functions, absolute value functions, and exponential functions.

## 3. How are transformations used to create a funny face graph?

Transformations, such as translations, reflections, and dilations, are used to modify the parent function and create the desired shape for the funny face graph. For example, a reflection can be used to create the appearance of a smile or frown on the face.

## 4. What is the purpose of using a funny face graph?

The purpose of using a funny face graph is to make learning and understanding mathematical concepts more engaging and fun. It can also help students visualize and better understand the effects of transformations on parent functions.

## 5. Can a funny face graph be used for more advanced mathematical concepts?

Yes, a funny face graph can be used to teach more advanced mathematical concepts, such as composition of functions and inverse functions. It can also be used as a creative way to review mathematical concepts and problem-solving skills.

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