Respuesta :

The graph of the parabola g(x) is (x+2)^2 + 3

Translation of function

Given the following parent function of the parabola expressed as;

f(x) = x^2

The function g(x) shows a horizontal translation to the left by 2 units and vertical translation up by 3 units to have the equation;

g(x)  = (x+2)^2 + 3

Hence the graph of the parabola g(x) is (x+2)^2 + 3

Learn more on translation here: https://brainly.com/question/12861087

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