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graph the equation shown below by transforming the given graph of the parent function y= (x+4)²

Sagot :

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.

View image SkaiY567982
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