Question

If you shift the linear parent function, (X) = x down 6 units, what is the

equation of the new function?
O A. g(x) = x+6
O B. g(x) = 6x
O C. g(x) = x-6
O D. 92) = x

Answer 1

C. g(x) = x - 6

Explanation:

For a parent function y = f(x) and n > 0:

f(x) + n : move the graph n units up

f(x) - n : move the graph n units down

f(x + n) : move the graph n units to the left

f(x - n) : move the graph n units to the right

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We have

f(x) = x

Transformation: 6 units down

f(x) - 6 = x - 6