1a. All of the graphs have been parabolas and the tables increased in a pattern and decreased in the same pattern after the middle point.
b. With both, it increases in the same pattern and then decreases in that pattern when it reaches the middle point.
2. You can multiply the x-value of the middle point by 4 or double the number in the equation.
3. For tables of quadratic functions, the y-value increases until it reaches the middle point, then decreases in the same pattern. For tables of linear functions, both values increase at a steady rate. For tables of exponential functions, the y-value doesn't increase at a steady rate or with a pattern. The graphs of quadratic functions are parabolas and the middle point is called the vertex. The graphs of linear functions are straight lines. The graphs of exponential functions start at a slow increase and then increase rapidly. The equations all have different parts that make them that certain kind of equation. In a quadratic function, the equation has a variable multiplied by a quantity. A=l(1/2P-l). In a linear function, the equation multiplies two variables and adds another. y=mx+b. In an exponential function, the equation raises a variable to a certain power and multiplies another number to it. y=ab^x.
Emily L. and Alex S.
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7 comments:
Very well put, I have Seen all parabolas as well and the highest area is always the squares area.
You did a very god job. You were very precise and had lots of details. Your explanation helped me understand a lot better.
The way you explained this was very well. I liked how you said,"With both, it increases in the same pattern and then decreases in that pattern when it reaches the middle point." It was very clear and easy to understand and this was something that was not easy to make clear. Good job.
Very well explained and easy to follow. I like how you put different characteristics of different types of equations. That made it easier to see why the quadratic functions are different.
I agree with your answers and the reflection was in alot of detail. I agree with your explanation of quadratic tables and graohs. All in all very nice job.
Emily and Alex-
Great job! You were very detailed about how quadratic equations are different than others. No one else got into so much detail. You helped me understand it better. Nice job.
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