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mathelp  May 7, 2018
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#1
+92461
+2

The average rate of change is the change in rise over the change in run

$$Average\;rate \; of \;change=\frac{0-4}{2-0}=-2$$

So yes he is right.

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$$f(x)=x^2-4x+6\\ f(x)-6=x^2-4x\\ f(x)-6+(\frac{-4}{2})^2=x^2-4x+(\frac{-4}{2})^2\\ f(x)-6+4=x^2-4x+4\\ f(x)-2=(x-2)^2\\$$

The vertex is the minimum and it is at (2,2)

Melody  May 7, 2018
#2
+108
+1

Thank you so much!! I appreciate it!!

mathelp  May 7, 2018
#3
+92461
0

You are very welcome :)

Melody  May 8, 2018