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help_people
 one year ago
For f(x) = x2 and g(x) = (x − 4)2, in which direction and by how many units should f(x) be shifted to obtain g(x)?
Left 4 units
Up 4 units
Right 4 units
Down 4 units
help_people
 one year ago
For f(x) = x2 and g(x) = (x − 4)2, in which direction and by how many units should f(x) be shifted to obtain g(x)? Left 4 units Up 4 units Right 4 units Down 4 units

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anonymous
 one year ago
Best ResponseYou've already chosen the best response.0for a function \[f(x)\] We have the following ways of how the graph moves \[f(x+a)\] Moves the graph LEFT by a units \[f(xa)\] moves the graph RIGHT by a units \[f(x)+a\] moves the graph UP by a units \[f(x)a\] moves the graph DOWN by a units, so what do you think?

Jhannybean
 one year ago
Best ResponseYou've already chosen the best response.1If you think about it as a parabolic function in vertex form, \(y=a(xh)^2+k\) You can determine that your vertex is at \((4~,~0)\) whereas the vertex of the parent function is \((0~,~0)\). Comparing the two vertexes, you can tell which way your graph has moved, what is the change from \(4\rightarrow 0=~?\)

help_people
 one year ago
Best ResponseYou've already chosen the best response.0so a ? @Jhannybean and @Nishant_Garg srry my mom called me :/

help_people
 one year ago
Best ResponseYou've already chosen the best response.0srrry i was inactive :)

Jhannybean
 one year ago
Best ResponseYou've already chosen the best response.1a would be \(g(x) =(x+4)^2\)

help_people
 one year ago
Best ResponseYou've already chosen the best response.0? thats now what nishant said

Jhannybean
 one year ago
Best ResponseYou've already chosen the best response.1No, @Nishant_Garg gave you the different variations of HOW the graph would move in certain situations.

Jhannybean
 one year ago
Best ResponseYou've already chosen the best response.1You can also compare the vertices.. and notice how theyve changed.

Jhannybean
 one year ago
Best ResponseYou've already chosen the best response.1dw:1442689805859:dw

Jhannybean
 one year ago
Best ResponseYou've already chosen the best response.1Which way does it LOOK like it's moving?...

help_people
 one year ago
Best ResponseYou've already chosen the best response.0ok great thanks :)

help_people
 one year ago
Best ResponseYou've already chosen the best response.0can i tag you if i have any more questions?

mathmate
 one year ago
Best ResponseYou've already chosen the best response.0What @Nishant_Garg said is still true, we only have to read with care. This is what he wrote, with line spacings rearranged. for a function f(x) We have the following ways of how the graph moves f(x+a) Moves the graph LEFT by a units f(x−a) moves the graph RIGHT by a units f(x)+a moves the graph UP by a units f(x)−a moves the graph DOWN by a units, so what do you think?
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