Horizontal Function Shifts
The graph of a function is shifted horizontally by a if you replace x by “x – a”.
What is the formula of the function with the given horizontal shift?
1. The function g(x) is obtained from f(x) = |x| by shifting to the right 5 units.
What is the formula for g(x)?
2. g(x) is obtained from f(x) = x3 by shifting to the left 1 unit.
What is the formula for g(x)?
3. g(x) is obtained from f(x) = x2 – 7x + 1 by shifting to the right 3 units.
What is the formula for g(x)?
4. g(x) is obtained from f(x) = (x – 10)4 + 9 by shifting to the left 2 units.
What is the formula for g(x)?
5. g(x) is obtained from f(x) = |x – 3| + x by shifting to the right by 1 unit.
What is the formula for g(x)?