1 Suppose that the function g is defined for all real number

1.

Suppose that the function g is defined, for all real numbers, as follows 4 if x >3 if x 3 Graph the function g -4

Solution

g(x) = -4 ; if x<= -3 ------ (I)

= x -1 ; -3 <x < 3 -------- (II)

= 5 ; x >= 3 ------------------ (III)

f(x) = -2x^2 +4x -4

= -2(x^2 -2x +1 -1) -4

= -2(x -1)^2 -2

compare with standard equation : f(x) = a(x -h)^2 +k

Vertex ( 1 , -2)