Question

Describe how the graph of g(x) is related to the graph of f(x) = 1?/x

Answer 1

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