Question

Which of the following correctly identifies the transformations undergone from f(x)=|x|
to f(−x)+6=|−x|+6
?(1 point)

reflected across the x-axis and translated up vertically

reflected across the y-axis and translated down vertically

reflected across the x-axis and translated down vertically

reflected across the y-axis and translated up vertically

Answer 1

Reflected across the y-axis and translated up vertically.

Reason: x → −x is a reflection across the y-axis; the +6 outside shifts the graph up 6 units (|−x| = |x|, so the reflection doesn't change the shape).