Answer:
6
Step-by-step explanation:
This function corresponds to 'even' function, then
in order to calculate the 'x' of the vertex: (3+9)/2=6.
Answer:
The x-coordinate of the parabola's vertex is 6.
Step-by-step explanation:
A parabola in the following format:
[tex]y = ax^{2} + bx + c[/tex]
With
[tex]\Delta = b^{2} - 4ac[/tex]
Has the following vertex:
[tex]V = (x_{v}, y_{v})[/tex]
In which
[tex]x_{v} = -\frac{b}{2a}[/tex]
[tex]y_{v} = -\frac{\Delta}{4a}[/tex]
In this problem, we have that:
A parabola intersects the x-axis at x = 3 and x = 9. This means that the roots are x = 3 and x = 9, and that our parabola is defined by the following equation:
[tex]y = (x - 3)(x - 9) = x^{2} - 12x + 27[/tex]
So
[tex]x = 1, b = -12, c = 27[/tex]
[tex]x_{v} = -\frac{b}{2a} = -\frac{-12}{2} = 6[/tex]
The x-coordinate of the parabola's vertex is 6.
