Question

Point A has the coordinates (6, –4). On a coordinate plane, point R is 6 units to the left and 4 units up. Point S is 6 units to the right and 4 units down. Point T is 6 units to the left and 4 units down. Point U is 6 units to the right and 4 units up. Which point on the graph shows the reflection of point A across the y-axis? R S T U

Answer 1

Answer:

The point T shows the reflection of point A across the y-axis

Step-by-step explanation:

we know that

When you reflect a point across the y-axis, the y-coordinate remains the same, but the x-coordinate is transformed into its opposite

so

The reflection of a point across the y-axis is equal to the rule

(x,y) -----> (-x,y)

we have

A(6,-4)

Applying the reflection across the y-axis to point A

A(6,-4) -----> A'(-6,-4)

Remember that

Point T is 6 units to the left and 4 units down

therefore

The point T shows the reflection of point A across the y-axis