Question

Can y’all please help me with the first two

All you have to do is look for the letter and match it with the problem

Answer 1

L' = (2, -2)

M' = (0, -3)

Explanation:

Let us revise the rules of translation

• If the point (x, y) translated horizontally to the right by h units then its image is (x + h, y) ⇒ T (x, y) → (x + h, y)

• If the point (x, y) translated horizontally to the left by h units then its image is (x - h, y) ⇒ T (x, y) → (x - h, y)

• If the point (x, y) translated vertically up by k units then its image is (x, y + k)→ (x + h, y) ⇒ T (x, y) → (x, y + k)

• If the point (x, y) translated vertically down by k units then its image is (x, y - k) ⇒ T (x, y) → (x, y - k)

∵ Point L is (0, 1)

∵ L translated 2 units right and 3 units down

→ By using the 1st and 4th rules above, add its x-coordinate by 2

and subtract its y-coordinates by 3

∴ The rule of translation is T (x, y) → (x + 2, y - 3)

∴ L' = (0 + 2, 1 - 3)

∴ L' = (2, -2)

∵ Point M is (1, -2)

∵ M' = (x - 1, y - 1)

→ By using the 2nd and 4th rules above, it is translated 1 unit left and

1 unit down

∴ M' = (1 - 1, -2 - 1)

∴ M' = (0, -3)