Question

Question #64cd4

Answer 1

Vertex: `(-3, -6)`, minimum
Domain: `(-oo, oo)`
Range: `(-6, oo)`

Explanation:

This parabola is written in vertex form, where `y=a(x-h)^2+k`. This form makes it simple to find what you need to know. The parabola has vertex `(h, k)`, which in this problem is `(-3, -6)`. Because `a` is positive, in this case just `1`, we know the parabola opens upward. Therefore, the vertex is the minimum point on the parabola. The domain of any parabola (when `y` is a function of `x`) is `(-oo, oo)` or all real numbers. Since, the parabola has a minimum height at `y=-6` and expands upward forever, its range is `(-6, oo)`.