Question

reflection 4
triangle abc is reflected across the y - axis.
enter the new coordinates in the table and press submit to check your work.
point (x,y)
a
b
c
submit

Explanation:

Step1: Find original coordinates

From the graph, \( A(-2, 1) \), \( B(-6, -3) \), \( C(1, -4) \).

Step2: Apply reflection over y - axis

The rule for reflection over \( y \)-axis is \( (x,y)\to(-x,y) \).

• For \( A' \): \( x=-2\to -(-2) = 2 \), \( y = 1 \), so \( A'(2,1) \).
• For \( B' \): \( x=-6\to -(-6)=6 \), \( y=-3 \), so \( B'(6, -3) \).
• For \( C' \): \( x = 1\to -1 \), \( y=-4 \), so \( C'(-1, -4) \).

Answer:

\( A'(2,1) \), \( B'(6, -3) \), \( C'(-1, -4) \)