Question

write an equation for the absolute described. the parent function y= |x| reflected across the x-axis, then shifted left 2 units."

Answer 1

The equation for the absolute value function reflected across the x-axis and shifted left by 2 units is y = -|x+2|.

Step-by-step explanation:

To find the equation of the transformed function described, we must apply two transformations to the parent function y= |x|. First, reflecting the function across the x-axis multiplies the function by -1, resulting in y= -|x|. Second, shifting the function to the left by 2 units involves replacing x with (x+2), leading to y= -|x+2|.