Final Reflections
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Vertex Form: a(x-h)+k , point (h,k) is the vertex of the graph , coefficient a determines if the graph opens upward or downward and if the parabola is vertically stretched or compressed when compared to the parent function f(x)= x^2.
This topic was easy for me because I found what the coefficient a was and figured out the problem from there. I realized that the a value determines most of your problem. It determines if the graph is positive or negative (opens upward or downward) and if the parabola is vertically stretched or compressed. After finding this it helped me understand how to graph vertex form a lot faster. This topic was difficult for me because I had a hard time going from standard form to vertex form. I made my own notes that explain step by step how to go from standard to vertex form. Something I could've done better to improve is taken more notes and watched videos on how to do this topic. Geometric Sequences: a geometric sequence is a sequence of numbers where each term after the first can be found by multiplying the previous one by a non-zero number, aka the common ratio. This topic was easy for me because as soon as I knew the difference between geometric and arithmetic, I could easily find the sequence of numbers. This topic was difficult for me because of the recursive and explicit formula. I forgot how to write them and when it asked for either of them, I didn't know which one is which. I studied the recursive and explicit formula and the differences in them in order to better understand this topic. Something I could've done better to improve is paid more attention to the differences and similarities of recursive and explicit formula. I also should have organized my notes better. Piecewise Functions: a function made up of distinct pieces based on different rules for the domain. The pieces of a piecewise function are graphed together. Since this is a function it will pass the vertical line test. This topic was easy for me because I know how to find domain and range. I also know how to plug numbers into x and solve. This helped me to find what solutions to graph. This topic was difficult for me because I didn't know how to graph the solutions. I would mix up my x and y values and therefore graph everything wrong. Something I could've done better to improve is do all my homework on time with NEAT notes. When it was time for tests or anything I couldn't study my notes because they didn't make sense. |
Advice for next years algebra students:
- Turn in EVERYTHING on time or early.
- Take more than enough notes.
- Start on weeblys early, they take a lot longer than you'll think.
- Do your homework, it helps in the long run.
- STUDY, STUDY, STUDY!!!!