Question

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.

Answer 1

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