[tex]y = a(x - 3)^{2} - 1 \\ \\ 1. \: y + 1 = a(x - 3)^{2} \\ 2. \: \frac{y + 1}{a} = (x - 3)^{2} \\ 3. \: + \sqrt \frac{y + 1}{a} = x - 3 \\ 4. \: x - 3 = \sqrt \frac{y + 1}{a} \\ 5. \: x - 3 = - \sqrt \frac{y + 1}{a} \\ 6. \: x = \sqrt \frac{y + 1}{a} + 3 \\ 7. \: x = - \sqrt \frac{y + 1}{a} \\ 8. \: x = \sqrt \frac{y + 1}{a} + 3 \: - \sqrt \frac{y + 1}{a} + 3 \\ answers [/tex]