Question

In equation (y-4)^(2)=-4(x+1), what direction does this parabola open?

Answer 1

The parabola represented by the equation

`(y-4)^2 = -4(x+1)`

opens to the left, as the squared term is y and the coefficient of the (x+1) term is negative.

Step-by-step explanation:

In the equation

`(y-4)^2 = -4(x+1)`

, the parabola opens to the left or right because the y is squared and not x. This is a horizontally oriented parabola because the variable y is squared. When the coefficient of the (x+1) term is negative, as in this case where it is -4, the parabola will open to the left. If the coefficient was positive, the parabola would open to the right.