Question

Write the standard equation of the circle in the graph.

Question 17 options:

(x + 3)2 + (y – 2)2 = 18

(x + 3) + (y – 2) = 9

(x – 3)2 + (y + 2)2 = 18

(x – 3)2 + (y + 2)2 = 9

Answer 1

the correct answer I'ds D

Answer 2

Hi there!

Let's solve this problem step by step!

1. First we take a look at the circle in the graph.

The centre of the circle is located at the point (3, -2). The circle touches the vertical axis in the point (0, -2). We can therefore conclude that the radius of the circle is 3.

2. The general equation of a circle is as follows:

`(x - a) {}^(2) + (y - b) {}^(2) = r {}^(2)`

In this equation, the point (a, b) is the centre of the circle and r represents its radius.

3. Combine our knowledge from 1. and 2.
Let's substitute the centre and radius into our eqiation!


`(x - 3) {}^(2) + (y - - 2) {}^(2) = {3}^(2)`
Now we can square on the left side, and replace the two minus signs by a plus.


`(x - 3) {}^(2) + (y + 2) {}^(2) = 9`
Hence, the answer is D.
~ Hope this helps you!