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Mathematics 16 Online
OpenStudy (anonymous):

graphing quadratics?

OpenStudy (anonymous):

OpenStudy (anonymous):

I'm confused since those plots aren't on the lines

OpenStudy (tkhunny):

Working from a chart is fundamentally flawed. Just do the best you can. This appears to be a parabola with axis of symmetry at x = 2. Thus, there should be not change at all when considering ONLY the two points at x = 0 and x = 4, no matter what their value appears to be on the odd drawing.

OpenStudy (anonymous):

...So it's 0? O.o but why?

OpenStudy (tkhunny):

What's an Average Rate of Change? If the two points are (0,4) and (4,4), what is the change from 4 to 4?

OpenStudy (anonymous):

2 I think? I'm bad at this xD

OpenStudy (tkhunny):

Average Rate of Change. You must get this concept in your head. It's a lot like SLOPE, but a little more general. What is the rate of change (the slope) in these two examples? (0,0) ==> (1,1) (1,1) ==> (2,3)

OpenStudy (anonymous):

0?

OpenStudy (phi):

the average rate of change between 2 points is the slope. at x=0, y=4 so the first point is (0,4) at x= 4, y=4 and the 2nd point is (4,4) here is a graph of the line through those points

OpenStudy (anonymous):

okay..

OpenStudy (phi):

even though the parabola is zooming down and then back up, the average change between where you started and where you stop is represented by a horizontal line... with slope=0

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