Rewrite the function by completing the square. f(x)= 4 x^{2} +12 x +9f(x)=4x

2

+12x+9f, left parenthesis, x, right parenthesis, equals, 4, x, squared, plus, 12, x, plus, 9

f(x)=f(x)=f, left parenthesis, x, right parenthesis, equals

(x+(x+left parenthesis, x, plus

)^2+)

2

+right parenthesis, squared, plus

The equation shown below represents function f. f(x)= -2x+5 the graph shown below represents function g. which of the following statements is true? a. over the interval [2, 4], the average rate of change of f is the same as the average rate of change of g. the y-intercept of function f is less than the y-intercept of function g. b. over the interval [2, 4], the average rate of change of f is greater than the average rate of change of g. the y-intercept of function f is greater than the y-intercept of function g. c. over the interval [2, 4], the average rate of change of f is the same as the average rate of change of g. the y-intercept of function f is greater than the y-intercept of function g. d. over the interval [2, 4], the average rate of change of f is less than the average rate of change of g. the y-intercept of function f is the same as the y-intercept of function g.