Question

A parabola intersects the xxx-axis at x=3x=3x, equals, 3 and x=9x=9x, equals, 9.

Answer 1

Answer:

x=6

Step-by-step explanation:

Given the x-intercepts of a parabola: $x_1=3, x_2=9$

The equation of symmetry at the parabola's vertex is x=h

Where $h=\dfrac{x_1+x_2}{2}$

In this case,

$h=\dfrac{3+9}{2}=6$

Therefore, the line of symmetry of the parabola is x=6 and is also the x-coordinate of the parabola's vertex.