Which phrase best describes the translation from the graph y=2(x-15)^2 +3 to the graph of y= 2(x-11)^2 +3

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20-06-2016
Mathematics

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Which phrase best describes the translation from the graph y=2(x-15)^2 +3 to the graph of y= 2(x-11)^2 +3

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Anonymousss Anonymousss · Answer 1 · 2016-06-20T15:59:37+02:00

Anonymousss Anonymousss

20-06-2016

to eliminate the +2 in the first graph, it would need to move 2 units right.
to add the +3 to the first graph, it would need to move 3 units up.

2 units right and 3 units up.

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wifilethbridge wifilethbridge · Answer 2 · 2019-07-03T11:24:07+02:00

Answer:

The graph [tex]y=2(x-15)^2 +3[/tex] is shifted left by 4 units .

Step-by-step explanation:

Function : [tex]y=2(x-15)^2 +3[/tex]

Rule : f(x)→f(x+b)

The graph f(x) shifts left by b units.

Now Shift the given graph left by 4 units

So, [tex]y=2(x-15)^2 +3[/tex] → [tex]y=2((x+4)-15)^2 +3[/tex]→tex]y=2((x-11)^2 +3[/tex]

Thus the shifted graph is [tex]y= 2(x-11)^2 +3[/tex]

Thus the graph [tex]y=2(x-15)^2 +3[/tex] is shifted left by 4 units .

Hence the phrase best describes the translation is the graph [tex]y=2(x-15)^2 +3[/tex] is shifted left by 4 units and the obtained graph is [tex]y= 2(x-11)^2 +3[/tex]