Question

What is point C after a translation of
4
4 units left and
1
1 units down followed by a reflection over the y-axis. Click Here for Help Video

a= -3,2
b=2,1
c=3,-5
d=-6,-2

Answer 1

To find the coordinates of point C after the given transformations, we start with the original coordinates of point C, which are (3, -5).

### Step 1: Translation
The translation involves moving the point 4 units left and 1 unit down.

1. **Moving 4 units left:**
- The x-coordinate decreases by 4:
\( x = 3 - 4 = -1 \)

2. **Moving 1 unit down:**
- The y-coordinate decreases by 1:
\( y = -5 - 1 = -6 \)

After the translation, the new coordinates of point C are:
\[
(-1, -6)
\]

### Step 2: Reflection over the y-axis
When reflecting a point over the y-axis, the x-coordinate changes sign while the y-coordinate remains the same.

For the point \((-1, -6)\):
- The x-coordinate becomes:
\( x = -(-1) = 1 \)

The y-coordinate remains:
\( y = -6 \)

Thus, after the reflection, the coordinates of point C are:
\[
(1, -6)
\]

Given the answer choices:
a) (-3, 2)
b) (2, 1)
c) (3, -5)
d) (-6, -2)

None of the answer choices match (1, -6). If you have additional context or constraints regarding the original point C or the transformation process, please share them!