Help with parabolas

Question

Help with parabolas

anonymous · Answer

Using your graph from question 4, describe if the average rate of change is increasing or decreasing, from left to right. Justify your observations by comparing the slopes calculated between at least three different pairs of points.

anonymous · Answer

attachment

ybarrap · Answer

Make sense?

anonymous · Answer

Kinda-ish, but I have no idea what I would put for the answer

ybarrap · Answer

Ok, so the rate of change when x < 0 is equal but negative to the rate of change when x > 0. 

Agree?

ybarrap · Answer

If you agree.

Then let's say the rate of change on the left (x<0) is -m.
Then the rate of change on the right (x>0) is m.

What is the average rate of change?

$$
\cfrac{-m + m}{2}=?
$$
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anonymous · Answer

0?

anonymous · Answer

I'm sorry I'm so confused

lastdaywork · Answer

@ybarrap 
"...describe if the average rate of change is increasing or decreasing, from left to right..."

I think, we need to fix a point on the graph and vary the other point and answer whether the slope of the variable line is increasing/decreasing with increase in x-coordinate.

lastdaywork · Answer

Like this -
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