Respuesta :

if your function is
[tex]f(x) = { - 2}^{2} + 6x - 3[/tex]
then f(x) opens down, therefore has a Max.
SociometricStar

Answer:

f(x) opens downward and has a maximum value.

Step-by-step explanation:

The given function is [tex]f(x)=-2x^2+6x-3[/tex]

It is a quadratic function and hence represents a parabola.

The standard form of a quadratic equation/parabola is [tex]y=ax^2+bx+c[/tex]

  • If a>0, then the parabola opens upward and vertex is the minimum point
  • If a<0, then the parabola opens downward and vertex is the maximum point

Comparing the given equation with the standard form of parabola, we get

a = -2, b = 6, c = -3

Since, a = -2 <0. Hence, the parabola opens downward and has a maximum value.

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