Question

The vertex of a parabola is at (2,-4). Which of the following could be its equation?A) Y= 2(x-2)^2+4B) X= 2(y+4)^2+2C) X= 2(y-4)^2+2D) Y= 2(x-2)^2-4

Answer 1

D. y = 2(x - 2)² - 4

Step-by-step explanation:

The equation of a parabola with a vertex (h, k) has the form

y = a(x - h)² + k

So, replacing (h, k) = (2, -4), we get:

y = a(x - 2)² + (-4)

y = a(x - 2)² - 4

then, the equation with this form is

D. y = 2(x - 2)² - 4