Point X (-3, -2) is translated using the rule (x, y) = (x+3, y + 4), then reflected over the x-axis. What is
the coordinate of X”?
(a) (0,2)
(c) (-2,0)
(b) (0,-2)
(d) (2,0)

B

Step-by-step explanation:

Using the translation rule, add 3 to the x- coordinate and add 4 to the y- coordinate, that is

(- 3, - 2 ) → (- 3 + 3, - 2 + 4 ) → (0, 2 )

Under a reflection in the x- axis

a point (x, y ) → (x, - y ), thus

(0, 2 ) → (0, - 2 ) → B

example 2 – simplify: step 1: completely factor both the numerators and denominators of all fractions. step 2: change the division sign to a multiplication sign and flip (or reciprocate) the fraction after the division sign; essential you need to multiply by the reciprocal. step 3 : cancel or reduce the fractions.