Respuesta :
Answer:x=1
Step-by-step explanation:
The x of the top of the parabola is:
x=-(-8)/(2*4)=1
x=1
Using quadratic function concepts, it is found that the axis of symmetry for the function is x = 1.
The standard quadratic function is modeled by:
[tex]y = ax^2 + bx + c[/tex]
And has axis of symmetry given by:
[tex]x = -\frac{b}{2a}[/tex]
In this problem, the function is:
[tex]y = 4x^2 - 8x + 9[/tex]
The coefficients are:
[tex]a = 4, b = -8, c = 9[/tex]
Then, the axis of symmetry is:
[tex]x = -\frac{b}{2a} = -\frac{(-8)}(2(4)} = 1[/tex]
A similar problem is given at https://brainly.com/question/24737967
