Question

Which of the following functions' graphs are shifted right 7 units when compared to the parent function f(x) = x?

a) g(x) = 2(x - 7)
b) g(x) = 3(x + 7) + 17
c) g(x) = 7x
d) g(x) = x/7
e) g(x) = 3(x - 7) + 17
f) g(x) = x - 7
g) g(x) = x + 7
h) g(x) = 2(x + 7)

Answer 1

The function that is shifted right 7 units when compared to the parent function f(x) = x is option h) g(x) = 2(x + 7).

Step-by-step explanation:

The function that is shifted right 7 units when compared to the parent function f(x) = x is option h) g(x) = 2(x + 7).

To shift the graph of a function to the right, we need to subtract the shifting value from the input variable. In this case, we need to subtract 7 from x. The function g(x) = 2(x + 7) accomplishes this because when we substitute x - 7 into the function, the x - 7 + 7 cancels out to give us x.