Function f is represented by the equation given below.

Function g has a vertex at (2,4) and the parabola opens downwards.

Which of the following statements is true? f (x) = x^2-5x+6

A.

The minimum of function f is at (-5,6).

B.

The minimum of function g is at (2,4).

C.

The y-intercept of function f is less than the y-intercept of function g.

D.

The y-intercept of function f is greater than the y-intercept of function g.

Step-by-step explanation:

Unfortunately, you have not shared function g (x). But I can focus on questions involving function f (x) alone:

A: We can find the x-coordinate of the minimum of f by calculating x = - b / (2a). Here that comes out to x = 5/2*1) = 5/2. This does not agree with A. A is FALSE.

B: Function g (x) unknown; cannot answer this.

C: The y-intercept of function f (x) is 6. That of g (x) is unknown.

D: The y-intercept of function f (x) is 6. That of g (x) is unknown