Function f is represented by the equation given below.
f(x)=x^2-5x+6
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).

Respuesta :

The only statement that is true is ...
  The y-intercept of function f is greater than the y-intercept of function g.

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The y-intercept of function g cannot be greater than 4, since that parabola opens downard and the vertex is at y=4. Hence the 1st statement is false.

The minimum of function f is at (2.5, -0.25), hence the 2nd statement is false.

The vertex of function g is its maximum, hence the 4th statement is false.
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