Question

question 6.
describe the transformation.
a. translation 4 units to the right
b. reflection across the x - axis
c. reflection across the y - axis
d. reflection across the line y = x

Explanation:

A translation moves a figure without flipping it. A reflection across the \(x -\)axis flips a figure over the \(x -\)axis. A reflection across the line \(y=x\) swaps the \(x\) and \(y\) coordinates of points. A reflection across the \(y -\)axis flips a figure over the \(y -\)axis. Looking at the graph, the left - hand triangle and the right - hand triangle are mirror images with respect to the \(y -\)axis. For example, if we take a point \((x,y)\) on the left - hand triangle, the corresponding point on the right - hand triangle is \((-x,y)\).

Answer:

C. reflection across the \(y -\)axis