Question

How do i translate (x,y) ?

One of my questions is asking me to translate , (x,y) i know the formula for translating, (a,b) x+a,y+b But a=x and b=y. How do i solve this?

Answer 1

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Answer 2

Answer: (x, y - 8)

Explanation:

Start with the innermost parentheses (reflection over the y-axis), which changes the sign of the y-coordinate:

• (x, y) → (-x, y)

Now perform the next inner parenthesis (rotation 180°), which changes the signs of both the x- and y-coordinates:

• (-x, y) → (x, -y)

Now perform the last set of parenthesis (reflection over y=4), which has the rule of (x, y) → (x, y + 2(4 - y)) = (x, y + 8 - 2y) = (x, 8 - y):

• (x, -y) → (x, -8 + y)