Respuesta :
Answer:
The ordered pairs of the image of the points A(-3,-3), B( 4,-5), and C (0,0) will be:
- A'(-7, -5)
- B'(0, -7)
- C'(-4, -2)
The graph is also attached to illustrate the concept of translation.
Step-by-step explanation:
Given the points
- A(-3,-3)
- B ( 4,-5)
- C (0,0)
Given that we need to translate the points 4 units left and 2 units down.
It means the original points need to horizontally move 4 units to the left i.e. subtracting 4 units from the x-coordinate and vertically move 2 units down i.e. subtracting 2 units from the y-coordinate.
Thus,
The rule/formula of translation can be expressed as:
P(x, y) → P'(x - 4, y - 2)
Here:
P is the original point and P' is the image of the original point P.
Now, translating the given points using the same rule of the translation.
A(-3, -3) → A'(-3 - 4, -3 - 2) → A'(-7, -5)
B(4, -5) → B'(4 - 4, -5 - 2) → B'(0, -7)
C (0,0) → C'(0 - 4, 0 - 2) → C'(-4, -2)
Therefore, the ordered pairs of the image of the points A(-3,-3), B( 4,-5), and C (0,0) will be:
- A'(-7, -5)
- B'(0, -7)
- C'(-4, -2)
The graph is also attached to illustrate the concept of translation.
