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a. `text{Centre}\ (1,-3/2),\ \ text{Radius}\ =2`
b.
| a. | `x^2-2x+y^2+3y-3/4` | `=0` |
| `x^2-2x+1+y^2+3y+9/4-4` | `=0` | |
| `(x-1)^2+(y+3/2)^2` | `=2^2` |
`text{Centre}\ (1,-3/2),\ \ text{Radius}\ =2`
b.
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a. `text{Centre}\ (2,-3),\ text{Radius}\ = 2`
b.
| a. | `x^2-4x+y^2+6y+9` | `=0` |
| `x^2-4x+4+y^2+6y+9-4` | `=0` | |
| `(x-2)^2+(y+3)^2` | `=2^2` |
`:.\ text{Centre}\ (2,-3),\ text{Radius}\ = 2`
b.
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a. `(x+3)^2 + (y+2)^2 = 3^2`
`:.\ text(Centre:)\ (-3,-2)\text(, Radius:)\ 3`
b.
| a. | `x^2+6x+y^2+4y+4` | `=0` |
| `x^2+6x+9+y^2+4y+4-9` | `=0` | |
| `(x+3)^2+(y+2)^2` | `=3^2` |
`:.\ text(Centre:)\ (-3,-2)\text(, Radius:)\ 3`
b.
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a. `(x-1)^2 + (y+2)^2 = 4`
b.
a. `text{Circle with centre}\ (1,-2),\ r = 2:`
`(x-1)^2 + (y+2)^2 = 4`
b.
Sketch the graph of `(x-3)^2 + (y + 2)^2 = 4.` (2 marks)
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`(x-3)^2 + (y + 2)^2 = 4\ \ text(is a circle),`
`text(centre)\ (3, -2),\ text(radius 2.)`