Graph A: Quadratic parent function: y=x^2, Black Graph, Vertex:( 0, 0)

Graph B: Opens up and is wider: y= 1/6 (x-4) ^2+8, Blue Graph, Vertex:( 4, 8)

Graph C: Opens down and is more narrow: y= -1(x-4) ^2, Orange Graph, Vertex:( 4, 0)

Graph D: Shifted up: y=1/2(x-10) ^2+10, Green Graph, Vertex:(10, 10)

Graph E: Shifted down: y= -1/4(x+8) ^2+1, Red Graph, Vertex:(-8, 1)

So, in this chapter you need to know some important things that are necessary. We are working on what’s letters a, h, k and vertex then put them all together.

So, as you can see, I wrote my equation and graph it and I going to talk about vertex first because it’s important. So, vertex is the point that the graph is going to start that’s why it is important. In this chapter we have a formula that shows like this” y=a (x-h) ^2+k” and letter h is our x in vertex and k is our y in vertex. By the way, we need to be careful when we plug in h because as you can see in formula our h is negative, so we know that if in our equation h is negative our x was positive and if our h were positive that means our x was negative. For example, in my black graph I don’t have h or k in my equation then it means that values of the vertex (x, y) are zero. so, let’s go to the letters.

Letter a in the equation show us that the graph is upward or downward based on (-) and (+), in addition, it tells us that our graph is wider or narrow, if our a is fraction it means our graph is going to be wider and if it’s number that it means our graph is going to be narrow. For example, in my red graph as you can see letter a is fraction then our graph looks wider and also has negative then our graph is downward. The next letter is x, letter x is x-intercept. X will show us that where our graph located. If it’s negative it means it located to the left and if it’s positive it means it located to the right, for instance, in my orange graph my x is -4 and as I said earlier -4 it means that x is 4, so then our graph will locate in the right. The next one is our letter k that is y in our graph. Letter k will tell us that our graph is at bottom or at the top of the x-intercept, if our k is negative, it means our graph is at the bottom and if it’s positive our graph is at the top, for example, in green graph my k is +10 it means that my graph is at the top of the x-intercept.

1. How did you represent the same mathematical idea in multiple ways in this assignment? I did respond to my assignments in three ways include: Graphing, Equation, and Written response.
2. State some of the relevant mathematical vocabulary words you used to demonstrate your understanding. The vocabulary words that I used are vertex, y and x, axis of symmetry, range, and x-intercept.
3. How did you use formatting to share your information in a clear and organized way? I used my knowledge and stuff that I learned like equations, graphs, and vocabulary words to respond for formatting my information as clear as it possible and with a good organize way.