The graphs of polynomial functions f and y gx are given belo

The graphs of polynomial functions f() and y g(x) are given below. y=g(x) a. Express function f(z) in terms of g. (Use z as your input variable.) x-2 )-2 Preview b. Express gx) in terms of f.Use z as your input variable.) +21+2 Preview

Solution

point corresponding to (-3,0) on f(x) is (-1,-2) on g(x)

f(-3)=0, g(-1)=-2

(a)

g(x) is shifted left by 2 units and up by 2units to get f(x)

f(x)=(g(x+2)) +2

(b)

f(x) is shifted right by 2 units and down by 2units to get g(x)

g(x)=(f(x-2)) -2