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Question

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anonymous · Answer

My Birthday: 9/22/1996

campbell_st · Answer

well you would have 

 y = a(x - 9)^2 + 22

now pick a value for a, that is between -4 and 4

say 2

y = 2(x - 9)^2 + 22

anonymous · Answer

Thank you! So now for step two I would turn that into standard form but how?

anonymous · Answer

wait!

anonymous · Answer

im gonna try first lol

campbell_st · Answer

for step 2 you can leave it in vertex form 

find f(4) anf f(7) 

then the average rate of change is   

$$\frac{f(7) - f(4)}{7 - 4}$$

anonymous · Answer

Do I leave the average rate just like that? and in order to graph it I would have to change it to standard form right?

campbell_st · Answer

now you need to get a number answer 

f(4) = 2(4 - 9)^2 + 22
      = 50 + 22

f(4) = 72

f(7) = 2( 7 - 9)^2 + 22

      = 30

so avg rate of change = ( 30 - 72)/(7 - 4)

campbell_st · Answer

then just calculate it

anonymous · Answer

Would the average rate be 14 or -14?

campbell_st · Answer

well its negative...

anonymous · Answer

Would that be all for the whole thing besides the graphing?

campbell_st · Answer

well you need to convert it to standard form reading the question... but that seems to only thing left... when you get the standard form you should try and find the zeros... to help with graphing, you know the vertex. A graphing option is this link https://www.desmos.com/calculator

anonymous · Answer

Thanks for the help!