AFDA Activity
Exploration: Basic Graphs in Pictures
Name ____________________
Date ________ Block ___
Due Date: You will have 3 full class periods to work on this assignment. Your final project
will be due at the beginning of class on March 20th (A) or March 21th (B).
Using Basic Graphs & Transformations to Draw Pictures
The purpose of this project is for you to draw a picture that incorporates many of the “basic
graphs” that we have studied in class as well as your knowledge of transformations (vertical
shifts, horizontal shifts and stretches). You will create equations that, when graphed, will
create your picture.
Here is a list of the Function Families that you can/must use:
1. y  mx  b
slanted line
2. y  c
horizontal line
3. x  c
vertical line
4. y 
x
absolute value
5. y  x
2
parabola (quadratic)
6. y  x
3
cubic
7. y 
x
square root (radical)
Requirements:
1.
2.
3.
4.
5.
6.
7.
You must have 15 functions graphed in your picture.
3 different “Function Families” make you eligible for a ‘C’
5 different “Function Families” make you eligible for a ‘B’
7 different “Function Families” make you eligible for an ‘A’
You must use some sort of transformation on at least 10 of your functions.
Your picture must be recognizable.
Bonus points can also be earned for extra creative drawings as perceived by the
teacher.
What You Will Turn In When Finished:
1. A “hand drawn” sketch of your picture with each graphed function labeled with the number
of the function it is on your list (see number 2 below). Color your picture! (60 points)
2. A list of all the functions (equations) you used in your drawing numbered so that I can find
the graphs on your picture (20 points)
For example:
1.) y = 2x + 3
2.) y = (3x+2)2 - 2
3.) y = | x – 2 | + 3
3. A typed paragraph discussing the following (20 points):
a) what you liked about this project.
b) what you disliked about this project.
c) what you learned while doing this project.
d) what problems you encountered while doing this project.
e) any other comments you would like to share.
(See my example so you understand what I want for number 1 and 2.)
Functions List
Number
on graph
1
2
3
4
5
6
7
8
9
10
11
12
13
14
15
16
17
18
19
20
21
22
23
24
25
Equations
Function Family
Vertex
Graph