My parabola:
Parent parabola:
Both Parabolas
My parabola:
Parent parabola:
The significance of a, h and k in my equation
Changing the a, h, or k in an equation will change the parabola. Changing the ‘a’ will either compress or stretch the parabola. The ‘a’ value being positive or negative will also change the parabola to either reflect the parent or point upwards like the parent. In my equation, the parabola became compressed and opens upward like the parent parabola. Since my parabola has a number farther away from 0 (4), the parabola becomes compressed smaller. The ‘a’ in my equation is also positive so it opens upwards just like the parent parabola. The ‘h’ in equations makes the parabola shift horizontally (across the x-axis). This makes the ‘x’ part of the vertex positive or negative. In my equation, ‘h’ made the parabola shift horizontally 3 to the right. This made the ‘h’ +3. The ‘k’ in equations makes the parabola shift vertically (across the y-axis). This makes the ‘y’ part of the vertex positive or negative. In my equation, ‘k’ made the parabola shift vertically 6 down. This made the ‘k’ -6. Overall my parabola changed from the parent parabola because it compressed, horizontally shifted to the right, and vertically shifted down.
Self-Reflection
Give an example from this assignment where you represented the same mathematical idea in multiple ways?
I represented how parabolas would change in different ways by using my parabola as an example as wells as explaining how other parabolas would change. I explained that parabolas could change positively or negatively and shift horizontally and vertically. I also used graphs to explain how my parabola changed from the parent parabola. This can help visually explain what is happening to the parabola.
Give an example from this assignment where you used mathematical vocabulary to demonstrate your understanding
I used words like compress, horizontal shift, vertical shift, and opens upwards to describe how my parabola changed from the parent parabola. This showed my understanding by showing that I knew what the vocabulary meant and how it looks in a mathematical equation.
Give an example from this assignment where you used formatting to share the information in a clear and organized way.
I used formatting like headers and bold words to share the information in an organized way. The headers made the information clearer to read and organized the questions into different sections. The bold words showed my understanding of math vocabulary and also allows the reader to pay attention to certain words. The bold words can make it easier to read the paragraph because it makes the important information clearer.