If the equation of a parabola is y = 9 (x - 2) 2 + v, and its vertex is (2, - 4), what is the value of v in the equation?

If the vertex of the parabola is (h, k) the equation of the parabola will be

y = a (x - h) ² + k

From the question (h, k) is (2,-4) then the equation of the parabola will be

y = a (x - 2) ² + (-4)

Compare the equation

y = a (x - 2) ² + (-4)

with

y = 9 (x - 2) ² + v

The value of a is 9 and the value of v is (-4).

The answer of the question ⇒ the value of v is (-4)