The reflection of the point `(-3,-2)` about Y - axis is

Options

A. `(3,-2)`
B. `(-3,2)`
C. `(3,2)`
D. `(0,-2)`

Answer

To find the reflection of the point \((-3, -2)\) about the Y-axis, we can follow these steps:

### Step 1: Understand the concept of reflection
The reflection of a point about the Y-axis means that we will keep the Y-coordinate the same and change the sign of the X-coordinate.

### Step 2: Identify the coordinates of the given point
The given point is \((-3, -2)\). Here, the X-coordinate is \(-3\) and the Y-coordinate is \(-2\).

### Step 3: Change the sign of the X-coordinate
To find the reflection about the Y-axis, we change the sign of the X-coordinate:
- Original X-coordinate: \(-3\)
- Reflected X-coordinate: \(3\) (since \(-(-3) = 3\))

The Y-coordinate remains the same:
- Y-coordinate: \(-2\)

### Step 4: Write the coordinates of the reflected point
After reflecting the point \((-3, -2)\) about the Y-axis, we get the new point:
\[ (3, -2) \]

### Conclusion
The reflection of the point \((-3, -2)\) about the Y-axis is \((3, -2)\).

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