The equation is written in vertex form. This lets you read the answers to the questions from the equation by matching it to the pattern ...
... y = a(x -h)² +k
where (h, k) is the vertex, and the sign of "a" tells you whether the curve opens upward or downward.
In your equation, a=2, h= -9, k= -4.
This means the vertex is (-9, -4).
The axis of symmetry is the vertical line through the vertex, x = -9.
The sign of "a" is positive, meaning the curve opens upward and the vertex is a minimum (the low end of the range).
As with all polynomials, the domain is all real numbers.
The y-value at the vertex is -4, so the range is all real numbers greater than or equal to -4.
