Question

Reflect across y-axis the points : A(3,4) , B(6,-9) , C( -8,4)
And Draw

Answer 1

Explanation:

"reflect" means like in a mirror. imagine the mirror image is really on the other side.

what would happen to the coordinates ?

would the y-coordinate change if the y-axis is the mirror ?

no, the y- coordinate would stay exactly the same, as the mirror on the y-axis is only flipping left-right, but not up-down

so, the only thing that happens is that things in the left go to the right and vice versa. and all keep the same distance from the y-axis, just from the other side.

that means the signs of the x-cordinates flip

A(3, 4) -> (-3, 4)

B(6, -9) -> (-6, -9)

C(-8, 4) -> (8, 4)

Answer 2

The coordinates of the given points after they are reflected in the y-axis are:

• A' = (-3, 4)
• B' = (-6, -9)
• C' = (8, 4)

Explanation:

When reflecting a point across the y-axis, the y-coordinate will remain the same but the x-coordinate will be negated.

Therefore, the mapping rule for a reflection across the y-axis is:

• (x, y) → (-x, y)

Therefore the coordinates of the given points after they are reflected in the y-axis are:

• A' = (-3, 4)
• B' = (-6, -9)
• C' = (8, 4)