Respuesta :

Considering the vertex of the quadratic equation, it is found that the value of b is of b = 3.

What is the vertex of a quadratic equation?

A quadratic equation is modeled by:

y = ax^2 + bx + c

The vertex is given by:

[tex](x_v, y_v)[/tex]

In which:

  • [tex]x_v = -\frac{b}{2a}[/tex]
  • [tex]y_v = -\frac{b^2 - 4ac}{4a}[/tex]

The axis of symmetry is of [tex]x = x_v[/tex]. In this problem, we have that a = 0.25 and x_v = 6, hence:

b/2a = 6.

b/0.5 = 6

b = 6 x 0.5

b = 3.

The value of b is of b = 3.

More can be learned about the vertex of a quadratic equation at https://brainly.com/question/24737967

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