Question

The pre-image point is C(-3,7) and it is translated 9 units to the right and 7 units down, what are the coordinates of C’?

A. 6, 14
B. 0, 0
C. -12, 0
D. 6, 0

Answer 1

After translating the point C(-3,7) by 9 units right and 7 units down, the new coordinates are (6,0).

Step-by-step explanation:

The student asks about the result of translating the point C(-3,7) by 9 units to the right and 7 units down. In the Cartesian coordinate system, moving a point to the right increases its x-coordinate, while moving it down decreases its y-coordinate. Given these directions,

• The x-coordinate increases by 9: -3 + 9 = 6.
• The y-coordinate decreases by 7: 7 - 7 = 0.

Thus, the coordinates of C' after the translation are (6, 0).