Problem :
If f (x) = (x - 3)^{2} - 2, what is the equation of the function if the graph is
shifted:
a) 2 units left
b) 3 units up
c) 8 units right
d) 1 unit down
a)
g(x) = (x - 1)^{2} - 2
b)
g(x) = (x - 3)^{2} + 1
c)
g(x) = (x - 11)^{2} - 2
d)
g(x) = (x - 3)^{2} - 3
Problem :
What is the equation if f (x) is shifted 3 units up and 5 units to the right?
Give your answer in terms of f (x).
g(x) = f (x - 5) + 3
Problem :
The domain of a function is and the range of the function is
. What are the domain and range if the function is shifted
left 2 units and up 6 units?
Domain:
Range:
Problem :
If the domain of f (x) is and the range of f (x) is , what are the domain and range of:
a) g(x) = f (x) + 4
b) g(x) = f (x + 3)
c) g(x) = f (x + 3) + 4
a) Domain: . Range:
b) Domain: . Range:
c) Domain: . Range:
Problem :
What relationship does g(x) = f (x + 2) - 8 have to f (x)?
g(x) is shifted 2 units to the left and 8 units down from
f (x).
Problem :
What relationship does g(x) = f (x - 1) + 6 have to f (x + 2) + 5?
g(x) is shifted 3 units to the right and 1 unit up from
f (x + 2) + 5.