Parent Function & My Parabola
The vertex of the parent function is (0,0) and the red line faces upwards because it is positive.
The vertex of my parabola is (-1,2) and the blue line faces upwards because it is also positive.
Significance of a, h, and k
In the equation I was given, -1 is in place of “h” and 2 takes the place for “k” which represents the vertex of the parabola, and 1/4 represent “a”. The H determines the horizontal shift of the parabola and gives us the axis of symmetry, a positive number would shift left whereas a negative value would make the parabola shift to the right. Because the 1 is positive it made the parabola shift to the left. The K value would determine if the parabola shifts up or down, a positive K value would make the parabola shift up, and a negative K value would shift down. In my equation the k value is 2 which means the parabola shifts upwards twice. Lastly the A value would determines the way the parabola would face, for example, when A is positive the parabola opens upwards, and when A Is negative then the parabola would face downwards. In the equation I received, 1/4 is positive meaning that the parabola opens upwards. It made my parabola different than the parent function because the a, h, and k values on my parabola caused it shift to the left horizontally, up vertically and being a lot wider
Self Assessment
- Give an example from this assignment where you represented the same mathematical idea in multiple ways?
An example where I represented the same mathematical idea by first writing my equation down, then I plugged it into demos to be able to see it visually on a graph. With what the graph showed me I compared my parabola with the parent function graph to see the differences between the two parabolas.
2. Give an example from this assignment where you used mathematical vocabulary to demonstrate your understanding.
When I was stating the significance of the values a, h, and k in my parabola I used, mathematical vocabulary like vertex, positive & negative values, horizontally, vertically, axis of symmetry. These vocabulary terms helped me differentiate between my given parabola and the parent function.
3. Give an example from this assignment where you used formatting to share the information in a clear and organized way.
I demonstrated my formatting to share information for this assignment by using desmos, It helped me get a clearer visual of my parabola on a graph and the difference it has with the parent function. I also talked about the importance of ‘a’, ‘h’, and ‘k’ clearly in my paragraph stating what they signify and giving examples from my given parabola to state their significance. I also colour coded the two parabolas making mine red and the parent function green so both are clearly seen.
