Question

Use the translation (x, y) = (x - 8, y + 1) to answer the question.

What is the preimage of C'(-3, -10)?
a. C(5, -11)
b. C(11, -9)
c. C(-3, -10)
d. C(-11, -9)

Answer 1

The preimage of C'(-3, -10) is C(-11, -9).

Step-by-step explanation:

The given translation is (x, y) = (x - 8, y + 1). To find the preimage of C'(-3, -10), we need to apply the translation in reverse. This means we will substitute -3 for x and -10 for y in the translation equation.

Substituting -3 for x and -10 for y, we get:

(-3, -10) = (-3 - 8, -10 + 1)

Simplifying:

(-3, -10) = (-11, -9)

Therefore, the preimage of C'(-3, -10) is C(-11, -9).