Question 1190596
Here are the solutions:

**1.**

*   a = -2
*   h = 6
*   k = 1

Equation: g(x) = -2(x - 6)² + 1

**2.**

*   a = 1
*   h = 1/2
*   k = -1/2

Equation: g(x) = (x - 1/2)² - 1/2

**3.**

*   a = -2
*   h = 9
*   k = 5

Equation: g(x) = -2(x - 9)² + 5