Translations and stretches:
1. Up and right: g(x) = 3x - 1
2. Reflect y-axis, left: g(x) = -3x - 7
3. Vertically stretch, up: g(x) = 12x - 19
4. Vertically stretch, up: g(x) = 6x - 9
Here's the matching of the verbal descriptions to the function rules:
* The function translated 6 units up and 2 units right:
`g(x) = 3x - 7 + 6 + 2 = 3x - 1`
* The function reflected about the y-axis and translated 7 units left: `
g(x) = -3x - 7` (reflecting about the y-axis is the same as multiplying by -1)
* The function stretched vertically by a factor of 4 and translated up by 9
units: `g(x) = 4(3x - 7) + 9 = 12x - 19`
* The function stretched vertically by a factor of 2 and translated up by 5
units: `g(x) = 2(3x - 7) + 5 = 6x - 9`