1. What is the equation of the axis of symmetry for the parabola given by $y = x^2 + 10x + 9$? The equation is $x = $ ___.
2. What is the axis of symmetry for the graph of the equation $y = 3x^2 - 12x + 7$?
3. Find the x-coordinate of the vertex for the parabola defined by the equation $y = -4x^2 - 16x + 3$. The x-coordinate is ___.
4. The height $h$ of a diver above water, in meters, is modeled by $h = -5t^2 + 20t + 25$. How many seconds does it take for the diver to reach their maximum height?
5. The vertex of the parabola $y = 2x^2 + 12x + 10$ is at the point $(h, k)$. What is the value of $k$? ___
6. If a parabola opens upwards, its vertex represents which of the following?
7. What is the x-coordinate of the vertex for the parabola given by the equation $y = 3x^2 - 12x + 7$? The x-coordinate is ___.
8. The path of a thrown ball is modeled by the equation $y = -x^2 + 6x - 5$. What is the maximum height the ball reaches? The maximum height is ___.
9. A parabola's vertex is located at $(2, -9)$. If the parabola opens upward, what is the minimum value of the function?
10. What are the coordinates of the vertex for the parabola with the equation $y = x^2 + 4x + 1$?