Answer:
The vertex of g(x) is (3;29)
Step-by-step explanation:
The coordinates of the vertex for a cuadratic equation are defined as:
Xv = -b/2a
Yv = f(Xv)
Where b, and a correspond to the coefficients of the linear and cuadratic terms respectively. In this particular case f(x) is represented by g(x).
Then by replacing the coefficients a and b in the x-coordinate we obtain:
Xv = -18/ (2.-3) = -18 / -6 = 3
And by replacing Xv in g(x):
Yv = g(Xv) = -3(3)^2 + 18(3) + 2
Yv = -27 + 54 + 2 = 29
Thus the vextex of g(x) is (3:29)
