What is the image point of (3,1)(3,1) after a translation left 3 units and up 3 units?
What is the image point of (2,8) after translation left 3 units and up 1 unit?
What is the image point of (-4,-3)(−4,−3) after a translation left 1 unit and down 2 units?
To find the image point after a translation, we need to apply the translation rule, which states that we need to shift each coordinate of the point by a certain amount in the x and y directions.
In this case, we are given that the translation is to the left by 3 units and up by 3 units. So, to find the image point, we need to subtract 3 from the x-coordinate (because we are going left) and add 3 to the y-coordinate (because we are going up).
Starting with the given point (3, 1), we apply the translation rule:
New x-coordinate = 3 - 3 = 0
New y-coordinate = 1 + 3 = 4
Therefore, the image point after the translation left 3 units and up 3 units is (0, 4).
left 3: (x,y) → (x-3,y)
up 3: (x,y) → (x,y+3)
so,
(3,1) → (3-3,1) → (3-3,1+3) = (0,4)