The function f(x)=x^2-4x+4 is shifted 3 units to the right to create g(x). what is g(x)

Step-by-step explanation:

f(x) + n - shift the graph of f(x) n units up

f(x) - n - shift the graph of f(x) n units down

f(x - n) - shift the graph of f(x) n units to the right

f(x + n) - shift the graph of f(x) n units to the left

f(x) = x² - 4x + 4 shifted 3 units to the right. Therefore g(x) = f(x - 3):

g(x) = (x - 3)² - (x - 3) + 4           use (a - b)² = a² - 2ab + b²

g(x) = x² - 2(x)(3) + 3² - x - (-3) + 4

g(x) = x² - 6x + 9 - x + 3 + 4           combine like terms

g(x) = x² + (-6x - x) + (9 + 3 + 4)

g(x) = x² - 7x + 16

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step-by-step explanation:

one that is bigger than 3 1/2