Answer:
y = (x+5)^2 +1
increasing on domain (-5,∞)
decreasing on domain (-∞, -5)
Explanation:
First identify what is the basic function. It is x^2.
Next you see that it isn't at the (0,0) point in the center, but it is to the left by 5 places. This means it was translated to the left by 5 units, to write that you use positive sign inside the parenthesis so (x+5)^2.
Then it is moved up by 1, so it is +1.
the function increases from (-5 to infinity) and decreases from negative infinity to -5). We don't use [ or ] because -5 is neither increasing or decreasing.
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