Question

describe the transformation.
a. reflection across the y - axis
b. translation 6 units down
c. reflection across the x - axis
d. translation 2 units down

Explanation:

Step1: Analyze reflection across y - axis

If it were a reflection across the y - axis, the x - coordinates of the corresponding points of the two triangles would be opposite. But from the graph, this is not the case.

Step2: Analyze translation 6 units down

If it were a translation 6 units down, all the y - coordinates of the points of the upper triangle would decrease by 6. But from the graph, this is not the case.

Step3: Analyze reflection across x - axis

For a reflection across the x - axis, the formula for a point \((x,y)\) is transformed to \((x, - y)\). Visually, if we consider the vertices of the triangles, the upper triangle and the lower triangle are mirror - images with respect to the x - axis.

Step4: Analyze translation 2 units down

If it were a translation 2 units down, all the y - coordinates of the points of the upper triangle would decrease by 2. But from the graph, this is not the case.

Answer:

C. reflection across the x - axis