Question

What is the vertex of the parabola defined by the equation
(x − 2)2 = -12(y − 2)?
(that is an exponent)

(-12, 2)
(2, 2)
(6, 2)
(2, -2)

Answer 1

B

Answer 2

https://www.desmos.com/calculator

Answer 3

(2, 2)

Answer 4

Thanks @Kemist @iGreen

Answer 5

The standard for the equation for a parabola centered at the origin is \[x ^{2}=4py\]When it is off center it is\[(x-h)^{2}=4p(y-k)\]. The difference between the first and the second equations is the h and the k in the second. Just like in a circle, the h and the k define the center (or vertex in a parabola). Look at the answers everyone is telling you and use my reason to see why they are so. Keep in mind that the signs for the center are opposite of what they are in the equation. If it's (x - 2), the the x coordinate for the center is a positive 2. Same thing goes for the y coordinate. Signs are opposite.