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anonymous
 one year ago
PLEASE HELP ILL GIVE A MEDAL
Your friend hands you a graph of the engine power statistics of a race car. He says, “I know this graph is f(x) = –3(x + 4)6 – 8 but I can’t remember how it is related to the graph of x6.” Explain to your friend how the graph f(x) is a translation of the graph x6.
anonymous
 one year ago
PLEASE HELP ILL GIVE A MEDAL Your friend hands you a graph of the engine power statistics of a race car. He says, “I know this graph is f(x) = –3(x + 4)6 – 8 but I can’t remember how it is related to the graph of x6.” Explain to your friend how the graph f(x) is a translation of the graph x6.

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SolomonZelman
 one year ago
Best ResponseYou've already chosen the best response.1Do you mean, \(\large\color{black}{ \displaystyle f(x) =~ –3(x + 4)^6 – 8 }\) ?

SolomonZelman
 one year ago
Best ResponseYou've already chosen the best response.1I will give you a couple of rules.

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0Yes its supposed to be f(x) = –3(x + 4)^6 – 8

SolomonZelman
 one year ago
Best ResponseYou've already chosen the best response.1` ` IF YOU ARE DEALING WITH SOME PARENT FUNCTION OF X RAISED TO THE POWER OF W. ` ` For any function \(\Large\color{black}{ \displaystyle f(x) = x^{\rm w} }\).  ` SHIFT LEFT/RIGHT ` When you have \(\Large\color{black}{ \displaystyle f(x) = (x + {\rm b})^{\rm w} }\) then your original function is shifted \(\rm b\) units to the left. When you have \(\Large\color{black}{ \displaystyle f(x) =(x  {\rm b})^{\rm w} }\) then your original function is shifted \(\rm b\) units to the right.  ` SHIFT UP/DOWN ` When you have \(\Large\color{black}{ \displaystyle f(x) =x^{\rm w}+ {\rm b} }\) then your original function is shifted \(\rm b\) units up. When you have \(\Large\color{black}{ \displaystyle f(x) =x^{\rm w} {\rm b} }\) then your original function is shifted \(\rm b\) units down.  ` SCALE FACTOR ` When you have \(\Large\color{black}{ \displaystyle f(x) = {\rm b}\cdot (x)^{\rm w} }\) then, your function is increased/shrinked (depends on whether b>1 or b<1)  ` REFLECTION ACROSS XAXIS ` When you have \(\Large\color{black}{ \displaystyle f(x) = x^{\rm w} }\) then your function is reflected (like a mirror) across the xaxis. 

SolomonZelman
 one year ago
Best ResponseYou've already chosen the best response.1Explore it piece by piece and keep referring to my list of rules. I will write the changes out so that you can see, them step by step, and you will just need to identify what exactly is going on.

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0ok, l understand those rules, i just don't know how to find out how the graph f(x) is a translation of the graph x6.

SolomonZelman
 one year ago
Best ResponseYou've already chosen the best response.1STEP 1 (your parent function): \(\LARGE\color{black}{ \displaystyle f(x)=x^6 }\)  STEP 2: \(\LARGE\color{black}{ \displaystyle f(x)=\left(x\color{blue}{+4}\right)^6 }\)  STEP 3: \(\LARGE\color{black}{ \displaystyle f(x)=\left(x+4\right)^6 \color{blue}{8} }\)  STEP 4: \(\LARGE\color{black}{ \displaystyle f(x)=\color{blue}{3\cdot }\left(x+4\right)^6 8 }\)  STEP 5 (the last step): \(\LARGE\color{black}{ \displaystyle f(x)=\color{blue}{ }{\tiny~}3\cdot \left(x+4\right)^6 8 }\) 

SolomonZelman
 one year ago
Best ResponseYou've already chosen the best response.1hope this helps.... when you look at my last post, please keep referring to the rules that I posted previously.

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0Ok I think I got it, thank you SO much!
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