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anonymous
 one year ago
Help c:
anonymous
 one year ago
Help c:

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Luigi0210
 one year ago
Best ResponseYou've already chosen the best response.0Do you know the vertex equation?

Luigi0210
 one year ago
Best ResponseYou've already chosen the best response.0To go from \(x^6\) to \(3(x+4)^68\) you need to do some shifting and turning, use the vertex form to help: \(f(x)=a(xh)^2+k \) where the vertex is (h, k) and a determines the expansion/shrink.

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0how would i plug x^6 into the vertex form ? or would i put the second equation into the vertex form? :o

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0wait nvm it already is in vertex form

Luigi0210
 one year ago
Best ResponseYou've already chosen the best response.0If you look at the graphs, it might be a bit hard to see but as you can see the graph was reflected http://prntscr.com/7eetq9 and probably has a vertex at (4, 8)

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0Any addition or subtraction represents a shift. So in this case you have +4 and a 8. Any multiplication represents some sort of stretch or compression. If the multiplication is by a negative value it will also be a reflection. The way I kind of explain it is to say is your value "trapped" with x or not? As in can you freely move that number around. So examples of "trapped" are \((x1)^{2}\) \(\sqrt{x6}\) \(x+2\) Where your numbers are being bounded by some sort of grouping symbol. So, if your transformations are not bound by a grouping symbol, they will affect yvalues. So for us, the 3 multiplication and the 8 subtraction are applied to yvalues. The +4 is bounded and trapped with x, so it will be the only thing affecting xvalues. Now, transformations that affect yvalues do as they look like they might do. If it's a +3 shift, things will go up 3. If it's a multiplication by 2, all the yvalues will be multiplied by 2. Now the transformations that affect xvalues, the "trapped" ones, kind of do the opposite. If it's a +5, you go left 5, more into the negative values for x. And if you multiply by 2, all the xvalues shrink by a factor of 2 (or are multiplied by 1/2 you can say). So after all that, let's put everything together. Now, we want to consider multiplicative transformations first. The only one of those is the 3. So all the yvalues of x^6 were multiplied by 3. In terms of transformations, this represents a reflection about the xaxis and a stretch by a factor of 3. After that, the graph was shifted 4 to the left and down 8.
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