Sunday, May 9, 2010

Math Reflection 1

1a. In the graphs of quadratic functions, the line goes up or down in a pattern until it reaches its vertex, when it goes up or down the opposite way. They are symmetrical. They are called parabolas, and they have a y-intercept, and 2 or 0 x-intercepts. In the tables of quadratic functions, the y values go up or down in a pattern, then go up or down the opposite way.

1b. Most of the parabolas weve seen open up, so they go up in a pattern, reach their vertex, and go down in the opposite pattern. In their tables, the y-values go up by the same pattern as the graph, reach the highest number, and go down.

2. One way to find the maximum value for rectangles in a graph is to look at the highest point, or vertex. Another way is to solve the equation l(1/2p-l) by plugging the fixed perimeter and a certain length.

3. The tables of quadratic functions go up by a pattern, reach the vertex(or highesr point), and continue down in the opposite pattern. The tables of exponential functions start at a certain point, then go up by more and more each time. The tables of linear functions go up at a steady rate. The graphs of quadratic functions go up or down in a pattern, reach the vertex, and continue in a way symmetrical to the first half. The graphs of exponential functions start out slowly increasing(or decreasing), then go up very steeply, more so every time. The graphs of linear functions increase at a steady rate. The equations of quadratic functions have a variable multiplied by a quantity with that same variable in it l(1/2p-l). The equations of exponential functions have a certain number raised to a variable, and are in the form of a(b^x). The equations of linear functions are composed of a certain number multiplied by a variable, with another number added on. They are in the form of y=mx+b.

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