anonymous
  • anonymous
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.
Mathematics
  • Stacey Warren - Expert brainly.com
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SOLVED
At vero eos et accusamus et iusto odio dignissimos ducimus qui blanditiis praesentium voluptatum deleniti atque corrupti quos dolores et quas molestias excepturi sint occaecati cupiditate non provident, similique sunt in culpa qui officia deserunt mollitia animi, id est laborum et dolorum fuga. Et harum quidem rerum facilis est et expedita distinctio. Nam libero tempore, cum soluta nobis est eligendi optio cumque nihil impedit quo minus id quod maxime placeat facere possimus, omnis voluptas assumenda est, omnis dolor repellendus. Itaque earum rerum hic tenetur a sapiente delectus, ut aut reiciendis voluptatibus maiores alias consequatur aut perferendis doloribus asperiores repellat.
chestercat
  • chestercat
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anonymous
  • anonymous
Parent function: \[f(x)=x^6\] |dw:1435434334236:dw|
anonymous
  • anonymous
let's start with the number in the "h" space. How much has the graph shifted and in which direction?
anonymous
  • anonymous
4, and to the right? or would it be left because there is a - sign next to it?

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anonymous
  • anonymous
4 to the left, and yes because of the - sign
anonymous
  • anonymous
now look at a. we know it was reflected because of the - sign outside. By what factor was it stretched?
anonymous
  • anonymous
I'm not sure what that means exactly..
anonymous
  • anonymous
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anonymous
  • anonymous
Look at the graph. the red one is the original x^6. The blue one has been stretched vertically by a factor of 3, meaning it increases 3 times faster than x^6. The green one has been compressed by a factor of 1/3, meaning it only increases at a third as fast as x^6.
anonymous
  • anonymous
does that make sense?
anonymous
  • anonymous
Yes!
anonymous
  • anonymous
ok. and then the last thing is the vertical shift
anonymous
  • anonymous
what do you think, up or down?
anonymous
  • anonymous
Down?
anonymous
  • anonymous
yes!
anonymous
  • anonymous
Awesome! So is that it? How should I word this?
anonymous
  • anonymous
that's it. you should go in the order we did it, order of operations style. It was shifted left by 4, reflected over the x-axis, stretched by a factor of 3, and shifted down by 8.
anonymous
  • anonymous
see this for more info http://www.regentsprep.org/regents/math/algtrig/atp9/funclesson1.htm
anonymous
  • anonymous
Thank you so much for your help!
anonymous
  • anonymous
you're welcome

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