Category Archives: Grade 11

Graphing a Parabola

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My Equation:

In both of these parabolas you can see the difference in the vertex and the shape of the parabola. y=x2 has a vertex of (0,0) and the axis of symmetry is x=0. The other parabola has a vertex of (-2,3) and the axis of symmetry is x=-2.

What is the significance of a, h, and, k in my equation?

In my equation the significance of a is to determine if my parabola opens upward or downward also if it is wide or narrow. If a is a negative value the parabola opens downward, if the a value is a large number it opens more narrow, and if the a value is a decimal or fraction it opens wider. In my equation since a is -4 that means it opens downward and is slightly narrow. The significance of h is to determine the x value of the vertex point. In the equation h is the opposite because of the the vertex form of the quadratic function which is f(x)=a(x-h)2+k. For example in my equation y=-4(x+2)2+3, h is 2 and in a vertex point it is (-2,3). H also represents a horizontal shift of how far left, or right, the graph has shifted. The significance of k represents a vertical shift of how far up, or down, the graph has shifted. K is also the y in the vertex point for example in my equation (-2,3) 3 is k and y.

Self Assessment

  1. Give an example from this assignment where you represented the same mathematical idea in three different
    ways? (for example, as a graph, an equation and in words)

A mathematical idea i represented in three different ways would be my quadratic function. I showed the equation in a graph form, and equation form, and in words.

  1. Give an example from this assignment where you used mathematical vocabulary to demonstrate your understanding.

Where i used mathematical vocabulary would be horizontal shift, vertical shift, and vertex to describe h and k. I used this vocabulary to demonstrate my understanding for the significance of h and k.

  1. Give an example from this assignment where you used formatting to share the information in a clear and organized way.

In this assignment i used formatting to share my graph so the information would be expressed in different ways for a better understanding. I wrote out my equation to begin, showed a graph, and broke down my equation to each term for its significance.

Where The Blood Mixes

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There are many examples within the literature that illustrate the character of Mooch. Mooch is a tender-hearted creature that has great courage. To begin with, he has an accepting nature. Mooch expresses his acceptance when he “enters the bar with a beaten face” because of June. June beat Mooch because last night he forgot to put the toilet seat down and she wasn’t feeling well. This shows us how Mooch accepts his mistake and lets June beat him without fighting back. He understands what he did and doesn’t defend himself, instead he receives what June gives him. In addition, he thinks about everything around him and how there is always a connection. Mooch thinks about everything around him in a different perspective. He conveys that “the sturgeon in the river feed of the bottom and if you die the sturgeon will eat you and then we eat the sturgeon.” Mooch thinks about the past and connects it to the environment that he lives in. He has a very soft heart because he feels the connection to those who have died in the river and how they are still with him at the moment. Mooch tends to have a strong relationship with his past, those who have passed away, and nature. This brings meaningful wonders for him to ponder. Lastly Mooch is a heroic human being. He reveals his heroic side by “[crossing] the bridge every day.” This is a powerful statement that Mooch says to June because Anne Christine’s mother died jumping of this bridge. Mooch has been through and experienced things that no human should go through. The residential school has traumatized and caused severe pain for Mooch. This indicates how Mooch hasn’t given up and still has hope to try and put his past behind him. As he crosses the bridge every day his mental strength grows as well as his hope. In conclusion the evidence provided conveys that Mooch is an individual that has incredible mental strength and a fragile heart.