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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.

Answer:

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

Step-by-step explanation:

Function : \(y=2(x-15)^2 +3\)

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

Thus the shifted graph is \(y= 2(x-11)^2 +3\)

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

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

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