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Question 1) Write an absolute value equation that is reflected, vertically shifted 2/3 units down and 1/2 units to the right.
Answer 1):
We know that absolute function is given by y=|x|
reflection happens when we multiply by negative sign so we get
y=-|x|
To get vertical shift down, we subtract so new equation is
y=-|x|-2/3
To get right shift by h unit, we replace x by (x-h) so the new equation is
y=-|x-1/2|-2/3
Hence final answer is
Question2) Write an absolute value equation with a horizontal shift 4 units to the right.
Answer:
We know that absolute function is given by y=|x|
To get horizontal right shift by h unit, we replace x by (x-h) so the new equation is
Hence final answer is .