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You have the following function:
y = (x + 4)²
consider that the associated pattern function is:
y = x²
you can notice that the given function is a translation of the patter function:
y(x) = x²
y(x + a) = (x + a)²
where a is any constant, in this case a = 4.
This kind of translation consist in a desplacement of the function to the left a units. In this case, you have a rigid translation to the left 4 units.
Hence, the graph is:
Blue curve is the pattern function and purple line is the translated function.
