Question

The figure on the left has been transformed into the one on the right. Which transformation does this show?
A) (x', y') = (y, x)
B) (x', y') = (x, -y)
C) (x', y') = (-x, y)
D) (x', y') = (-y, x)

Answer 1

(x', y') = (x, -y) is correct. The x-values do not change, but the y-values take on opposite signs. This is a reflection in the x-axis.

Answer 2

Answer:

Option B.

Step-by-step explanation:

The figure on the left has been transformed into the one on the right.

From the given diagram it is clear that the figure is reflected across x-axis.

If a figure reflected across x-axis, then the rule of reflection is

$(x,y)\rightarrow (x,-y)$

where, (x,y) is the ordered pair of image and (x,-y) is the ordered pair of preimage.

It means,

$(x',y')=(x,-y)$

The given transformation is represented by $(x',y')=(x,-y)$.

Therefore, the correct option is B.