The circle of `x^2-6x + y^2 + 4y-3 = 0` is reflected in the `x`-axis.
Sketch the reflected circle, showing the coordinates of the centre and the radius. (3 marks)
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| `x^2-6x + y^2 + 4y-3` | `= 0` |
| `x^2-6x + 9 + y^2 + 4y + 4-16` | `= 0` |
| `(x-3)^2 + (y + 2)^2` | `= 16` |
`=>\ text{Original circle has centre (3, − 2), radius = 4}`
`text(Reflect in)\ xtext(-axis):`
♦ Mean mark 48%.
`text{Centre (3, − 2) → (3, 2)}`