Answer:
Please check the explanation.
Step-by-step explanation:
Given the point
P(x, y)
Please note that when we translate a point 'c' units left, the 'c' units are subtracted from the x-values, and when translating a point 'c' units right, we add the 'c' units to the x-values.
Also, note that when we translate a point 'c' units down, the 'c' units are subtracted from the y-values, and when translating a point 'c' units up, we add the 'c' units to the y-values.
After First Translation:
3 units left and 5 units up
P(x, y) → P'(x-3, y+5)
After Second Translation:
Translate the image 5 units right and 2 units up.
P'(x-3, y+5) → P''(x-3+5, y+5+2) = P''(x+2, y+7)
Thus, the coordinates of the point(x, y) after the translations are: P''(x+2, y+7)
TAKING AN EXAMPLE
Let us consider that point
P(0, 0)
After First Translation:
3 units left and 5 units up
P(0, 0) → P'(0-3, 0+5) = P'(-3, 5)
After Second Translation:
Translate the image 5 units right and 2 units up.
P'(-3, 5) → P''(-3+5, 5+2) = P''(2, 7)
Thus, the coordinates of the point P(0, 0) after the translations are:
