Answer:
a) f(x) translated up 4 units ⇒ vertical moving
b) f(x) stretched vertically by scale factor 5
c) f(x) translated 3 units to the left ⇒ horizontal moving
d) f(x) stretched horizontally by scale factor 1/0.1 = 10
e) f(x) compressed horizontally by scale factor 1/3 and reflected
about the y-axis
Step-by-step explanation:
∵ f(x) = 1/x
a) ∵ g(x) = 1/x + 4
∴ f(x) moved up 4 units ⇒ vertical moving
b) ∵ g(x) = 5(1/x)
∴ f(x) stretched vertically by scale factor 5
c) ∵ g(x) = 1/(x + 3)
∴ f(x) moved 3 units to the left ⇒ horizontal moving
d) ∵ g(x) = 1/0.1x
∴ f(x) stretched horizontally by scale factor 1/0.1 = 10
e) ∵ g(x) = 1/-3x
∴ f(x) compressed horizontally by scale factor 1/3 and reflected
about the y-axis
