Summary of my Parabola’s
For the green parabola, my parent function y = x2is the basic function. It’s the function that’s axis of symmetry is 0, doesn’t open wide or very narrow, won’t shift left or right. For my purple parabola, its function f(x)= 8(x+2)2 +2 has the k value +2 which makes my parabola shift up. My a value 8 is (a>1) makes my parabola narrow. My function has a -2 for the h so it shifts to the left. For my black parabola f(x)= (x-3)2 -1, since my h is positive 3, my parabola shifts to the right. My k value -1 makes my vertex lower. For my red parabola f(x)= -1/3(x-1)2 has an a value of -1/3. the -1/3 makes my parabola open down and wider since (a<1). My h value of positive 1 shifts the parabola right and since my function has no k value it doesn’t more up or down. For my blue parabola f(x)= -2(x+2)2 +1, my a value -2 is making the parabola open down but also wider since (a<1) and the -2 as my h value shifts the parabola left. finally my k value +1 shifts the parabola up one.
Self Assessment
For the assignment I was able to show the same mathematical idea in multiple ways. I was able to put it into a graph to show a visualization as well as explain it through my writing. Some of the relevant mathematical terminology that I used was (a<1) and (a>1) which was a shorter way to say that my a value which controls how wide or narrow my parabola will be is greater or less than 1. I also referred to H which is the value that determines if my parabola is going to shift left or right. It’s also the x value of my vertex. The other letter I refer to is K, this is what moves my parabola up and down and is the y value of my vertex. I was able to get these definitions of my notes and examples and put them into my own words to try and make it clear. My formatting can help viewers understand my graph better. Since each explanation corresponds with a different parabola, I colour coded it so that the colour of the parabola is the same as the explanation.