Answer:
B
Step-by-step explanation:
We are given a quadratic function f(x) whose zeros are at x = -2 and x = 6.
And we want to determine its axis of symmetry.
Recall that a parabola is symmetric about its axis of symmetry.
Therefore, the axis of symmetry is directly in the middle of the two roots.
Find the average of the roots:
[tex]\displaystyle x=\frac{(-2)+(6)}{2}=\frac{4}{2}=2[/tex]
Hence, the axis of symmetry is x = 2.
Our answer is B.
In general, if we are given the two zeros p and q of a quadratic and we want to find the axis of symmetry x, it is given by:
[tex]\displaystyle x = \frac{p+q}{2}[/tex]
