Question

What are the coordinates of the points (-4,2) after a translation 2 units left and 2 units up?

a. (-6, 4)
b. (-2, 0)
c. (-2, 4)
d. (-6, 0)

Answer 1

a. (-6,4) cuz
2 left = -2 on x-axis so -2 + (-4) = -6
Abbas 2 up is on y-axis so +2, 2 + 2 = 4

Answer 2

a.
`(-6,4)`

Explanation:

We are asked to find the coordinates of the points (-4,2) after a translation 2 units left and 2 units up.

We know that translating a point to the left by 'a' units means we need to subtract 'a' units from x-coordinate of the point.

Translation to 2 units left:

`(-4,2)\Rightarrow ((-4-2),2)=(-6,2)`

We know that translating a point to upwards by 'a' units means we need to add 'a' units to y-coordinate of the point.

Translation to 2 units up:

`(-6,2)\Rightarrow (-6,(2+2))=(-6,4)`

Therefore, our point after the given translation would be
`(-6,4)`.