Question

Point A (2, 6) has been translated 1 left and 3 up followed by a 180 degree rotation.

Answer 1

Answer:

$A(-1,-8)$

Step-by-step explanation:

Given

Point: A(2,6)

Translation: 1 left and 3 up

Rotation: 180 degrees

Required

Image of Point A

Taking the exercise one after the other

Represent the function as: (x,y)

Such that

$A(x,y) = A(2,6)$

1 unit left translation means the function becomes (x - 1, y)

2 unit up translation means the function becomes (x - 1, y + 2)

Applying the above transformation

$A(2,6) -> A(2-1,6+2)$

$A(2,6) -> A(1,8)$

At this stage, the coordinate becomes

$A(1,8)$

When a function (x,y) is rotated by 180, the new function becomes (-x,-y)

So;

The further transformation of A is

$A(1,8) -> A(-1,-8)$

Hence, the new image of A is

$A(-1,-8)$