Question

question: 4
figures j, k, l, m, n, and p are shown on the coordinate
plane.
part a
which figure can be transformed into figure p by a
translation 2 units to the right followed by a reflection
across the x - axis?
a. figure j
b. figure k
c. figure l
d. figure m

Explanation:

Step1: Analyze translation

Translation 2 units to the right means moving each point of the figure 2 units in the positive x - direction.

Step2: Analyze reflection across x - axis

Reflection across the x - axis changes the y - coordinate of each point. If a point has coordinates \((x,y)\), after reflection across the x - axis, its coordinates become \((x, - y)\).
Looking at the figures:

• Figure M: When we translate figure M 2 units to the right and then reflect it across the x - axis, we get figure P.

Answer:

D. figure M