Question

101 point10) Describe the transformation of thefunction y =-\x+31 +2A) transulated 3 units right and up 2B) reflected across the x axis, translated 3 units right and up 2C) reflected across the x axis, translated 3 units left and up 2D) reflected across the x axis, translated 3 units left and down 2OOO

Answer 1

Explanation:

The parent function is y = |x| and the function y = -|x + 3| + 2 is achieved by moving 3 units to the left (which turns |x|) into |x + 3 |), reflecting the result about the horizontal axis (which turns |x|) into - |x + 3 |), and finally moving up by 2 units (which turns |x|) into -|x + 3 | + 2).

Hence, the right transformation is choice C: Reflected across the x-axis, translated 3 units left and up 2.