Functions word problem

Question

Christina owns a few fruit trees in her backyard and sells the fruit when it's ready. If her peach tree produces "p" pounds of fruit a day at a cost of f(p), what do the following expressions represent? how do they relate to transformations?
a) f(p-4)
b) f(p)-5
c) 1/2 f(p)
d) f(4p)

Answer 1

p pounds of fruit cost f(p)

f(p-4) = cost of p-4 pounds of fruit. As a transformation, it's the graph shifted right 4

f(p) -5 = 5 less than the cost of p pounds of fruit. It's the graph shifted down 5

(1/2)f(p) = half the cost of p pounds of fruit

It's the graph widened by a factor of 1/2

f(4p) = the cost of 4p pounds of fruit. it's the graph compressed by a factor of 4, made more narrow