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? The y-intercept of function f is less than the y-intercept of function g. The minimum of function f is at (-5,6). The y-intercept of function f is greater than the y-intercept of function g. The minimum of function g is at (2,4).

Answer 1

The complete question in the attached figure

we have that
f(x)=x²-5x+6
and g(x) has a vertex at (2,4) and the parabola opens downwards

using a graph tool
see the attached figure

 statements
a) The y-intercept of function f is less than the y-intercept of function g
this is not correct, because the y-intercept of function f is greater than the y-intercept of function g

b) The minimum of function f is at (-5,6)
this is not correct, because the minimum of function f is at (2.5,-0.25)

c)The y-intercept of function f is greater than the y-intercept of function g
this is correct

d) The minimum of function g is at (2,4)
this is not correct because the maximum of function g is (2,4)

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