1. Describe the change in the graph of the parabola f(x) when it transforms into g(x) = 3f(x).

choices:

a) The parabola g(x) will open in the opposite direction of f(x), and the parabola will be narrower than f(x).

b) The parabola g(x) will open in the same direction of f(x), and the parabola will be narrower than f(x).

c) The parabola g(x) will open in the opposite direction of f(x), and the parabola will be wider than f(x).

d) The parabola g(x) will open in the same direction of f(x), and the parabola will be wider than f(x).

2.Use the functions f(x) and g(x) to determine which function has the largest zero and provide its coordinates.

f(x) = 4x2 16x + 16

x 18 19 20 21 22

g(x) 17 0 19 40 63

a) f(x); (2, 0)

b) f(x); (2, 0)

c) g(x); (19, 0)

d) g(x); (63, 0)

3) Given a graph for the transformation of ftwo parabolas open up with f of x passing through negative 3 comma negative 3 and g of x passing through negative 3 comma 5(x) in the format g(x) = f(x) + k, determine the k value.

a) 3

b)-3

c)5

d)8