Answer:
Axis of the symmetry is x=2.
Step-by-step explanation:
Given :
Equation of a parabola in vertex form.
⇒ [tex]y=\frac{2}{3}(x-2)^2 -5[/tex]
Note:
Axis of symmetry divides the parabola in two equal halves.
General vertex form y=a(x−h)^2+k
And the axis of symmetry (x)= h
Comparing our values with the vertex form.
We can say that.
⇒a= [tex]\frac{2}{3}[/tex]
⇒h= [tex]2[/tex] and
⇒k= [tex]-5[/tex]
Axis of symmetry is (x) = h=2
Axis of symmetry of the parabola is x = 2.
Option C is the right answer.
