The Signifigance of A:
The signifigance of A in a parabola determines if the parabola is facing up, or facing down. It also determines how wide, or how narrow the parabola will be. In my parabola, the A value is -2, meaning the parabola is facing down, and is realtively narrow. When the value of A is a large positive number, it becomes narrow, and when the value of A is a very small positice number, (fraction), it becomes wide. When the value of A is negative, it opens downwards. Compared to the standard parabola y=x², my parabola y=-2(x+1)²-7, has flipped upside down, and has become slightly more narrow, due the the A value being -2.
The Signifigance of H:
The signifigance of H in a parabola represents a horizantal shift, meaning how far right, or how far left the parabola has shifted. The value of H in my parabola is -1, meaning -1 is the horizantal (x) coordinate of the vertex. Since H is the X coordinate of the vertex, it is also the axis of symmetry. Compared to the standard parabola y=x², my parabola y=-2(x+1)²-7, has the axis of symmetry x=-1, whereas the axis of symmetry for the standard parabola is x=0. This means that my parabola has shifted 1 to the left compared to the standard parabola.
The Signifigance of K:
The signifance of K in a parabola represents a vertical shift, meaning how far up, or how far down the parabola has shifted. In my parabola, the value of K is -7, meaning the entire parabola has shifted down 7 squares. The value of K also represnts the Y coordinate of the vertex. My vertex is (-1,-7) whereas the standard parabola’s vertex is (0,0). K also represents the mininum/maxinum value, in my vertex -7 is the maxinum value, whereas in the standard parabola’s vertex, it has a mininum value of 0.
Give an example from this assignment where you represented the same mathematical idea in three different ways:
I represented the same mathematical idea in three different ways within this assignment. I showcased my parabola in a graph form using Desmos, which is a great visual representation of this assignemnt. Another way I showcased my parabola was simply by stating my equation, y=-2(x+1)²-7. In stating my equation, I was able to dissect different elements of the equation that lead to the third way I represented my parabola. In explaining the signifgance of A,H, and K, I was able to represent my parabola was by using mathematical vocabulary and breaking down each part of the equation.
Give an example from this assignment where you used mathematical vocabulary to demonstrate your understanding:
I used mathematical vocabulary to demonstrate my understanding when I was explaing the signifgance of A, H, and K. I used terms that we have learned so far in this unit like, parabola, vertex, axis of symmetry, as well as a few others. In using these mathermatical terms, I further showcased that I have a good understanding of chapter 3.
Give an example from this assignment where you used formatting to share the information in a clear and organized way:
I used formatting to share the information in a clear and organzied way by taking my time with this Edublog. I made sure that both of my graphs were clear and easy to read by making them large and at the top of the page. I changed the background of both graphs to a black colour, as I found the white colour was harder to see. I added headings above each question to make it organzied and clear what I was discussing. I added colour to these headings to make them stand out. Before posting this, I made sure that I previewed it to ensure my layout was organized. In using my organizational skills, I formated this assignment in such a way where all the information was clear and concise.