How do I create a graph using linear equations?

Question

Hello my name is Noah,
I'm a senior in Algebra function and I have a project over break on creating a graph using at least 20 linear or parabolic functions based on the parent functions of Y=X and Y=X^2. If I use the parent functions themselves on my graph I have to include at least 18 transformation of parent functions. I don't understand exactly what it's asking me to do.

Answer 1

For example, you can obtain the graph of y = x² - 3 by translating the graph of y = x² three units downward.   The graph of y = -x² is the graph of y = x² reflected in the x-axis and the graph of y = (x-3)² is the graph of y = x² translated three units to the right.  

 

 

Answer 2

With the parent function of Y = X, you can also create other functions such as Y = X + 1   or   Y = X - 2. You can also have Y = 2X   or   Y = -0.5X.

 

In a similar manner, with Y = x^2 as the parent function you can create y = (x-1)^2 or y = (x+2)^2 or even a function such as y+3 = (x+1)^2.

 

I hope you get the idea of what you need to do now. Happy New Year !!