what is the equation of the axis of symmetry for the parabola
y=2/3(x-2)^2-5

x=2/3
x=-2
x=2
x=-5

Axis of the symmetry is x=2.

Step-by-step explanation:

Given :

Equation of a parabola in vertex form.

⇒

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=

⇒h= and

⇒k=

Axis of symmetry is (x) = h=2

Axis of symmetry of the parabola is x = 2.

Option C is the right answer.

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step-by-step explanation: