1. The parent function: f(x)=x² (Red parabola)
2. A parabola that demonstrates a vertical shift up: y=2(x+17)²+9 (Black parabola)
3. A parabola that demonstrates a vertical shift down: y=1/5(x-2)²-3 (Blue parabola)
4. A parabola that demonstrates a horizontal shift left: y=1/4(x+7)²+1 (Dotted purple parabola)
5. A parabola that demonstrates a horizontal shift right: y=2/5(x-13)²-4 (Dotted red parabola)
6. A parabola that demonstrates vertical stretch: y=9(x+10)²-5 (Green parabola)
7. A parabola that demonstrates vertical compression: y=1/10(x-5)²-6 (Dotted black parabola)

1. This red parabola demonstrates the parent function f(x)=x². This is the starting point/blueprint for a family of functions.
2. This black parabola demonstrates a vertical shift up, as the ”k” value highlighted in the above paragraph is positive. This is the y value in the vertex.
3. This blue parabola demonstrates a vertical shift down, as the ”k” value highlighted above is negative. This is the y value in the vertex.
4. This dotted purple parabola demonstrates a horizontal shift left, as the ”h” value highlighted above is positive. This is the x value in the vertex.
5. This dotted red parabola demonstrates a horizontal shift right, as the ”h” value highlighted above is negative. This is the x value in the vertex.
6. This green parabola demonstrates a vertical stretch, as the absolute value of ”a” highlighted above is greater than one.
7. This dotted black parabola demonstrates a vertical compression, as the absolute value of ”a” highlighted above is less than one, but greater than zero.

Communication Core Competency Reflection

I can understand and share information in a clear, organized way. I demonstrate this by reading instructions multiple times, ensuring that my end result is what was asked of me. I made sure my graph contained well spread out parabolas, making it easy to interpret, and my writing was clear and concise. Additionally, I look over my work, double checking for any mistakes or misinformation.

I think about what I am going to convey and to whom I will convey it to. I ensured that I was fully prepared before beginning this assignment. I read over my notes and wrote out my equations on a scrap piece of paper beforehand. I ensured that I fully explained each step I took while graphing and why I made certain choices, applying what we learned in class. I wanted to make sure that anyone reading could understand my thought process.