Question

The parent function of y = |x is shown below. Graph A is the parent function after a transformation was applied to it. Which transformations could have happened to the parent function to produce Graph A?

a) Vertical reflection over the x-axis.
b) Horizontal reflection over the y-axis.
c) Horizontal translation to the right.
d) Vertical translation upward.

Answer 1

Graph A is a vertically reflected version of the parent function, where the graph is flipped over the x-axis.

Step-by-step explanation:

The parent function of y = |x is a V-shaped graph with the vertex at (0,0) and the line of symmetry at x = 0. Graph A is a vertically reflected version of the parent function, where the graph is flipped over the x-axis. This is represented by option a) Vertical reflection over the x-axis.