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What is the x-intercept for the following equation y=2(x+1)^2 + 3? Please show step by step. 
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            In this post,   y = 2(x+1)^2 + 3    IS  NOT   an equation.
            This equality is the  DEFINITION  of function  y.
            Use the terms correctly,  precisely with their destiny and meaning.
The quadratic term   2*(x+1)^2  is always non-negative.
With the constant term  "3"  added,  the function  y = 2*(x+1)^2 + 3  is always positive.
So the graph of the function  y = 2(x+1)^2 + 3  HAS NO  x-intercept.    ANSWER
Solved and explained.