Question

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?

Answer 1

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)