Using translation concepts, the graph of g(x) is given at the end of the answer.
What is a translation?
A translation is represented by a change in the function graph, according to operations such as multiplication or sum/subtraction either in it’s definition or in it’s domain. Examples are shift left/right or bottom/up, vertical or horizontal stretching or compression, and reflections over the x-axis or the y-axis.
Function f(x) is a concave up parabola with vertex at (1, -5). For the translation g(x) = f(x + 2), we have that the function is shifted two units left, as:
g(x) = f(x + 2) = (x + 2 - 1)² - 5 = (x + 1)² - 5.
Which is a concave up parabola with vertex at (-1, -5), and the graph is given at the end of the question.
More can be learned about translation concepts at https://brainly.com/question/4521517
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