below is the graph of $y = |x|$. translate it to make it the graph of $y = |x - 4| - 3$.
below is the graph of $y = |x|$. translate it to make it the graph of $y = |x - 4| - 3$.
Answer
Explanation:
Step1: Analyze the horizontal translation
For the function (y = |x - h|), when (h>0), the graph of (y = |x|) is translated (h) units to the right. In (y=|x - 4|-3), (h = 4). So, we first translate the graph of (y = |x|) (4) units to the right.
Step2: Analyze the vertical translation
For the function (y=f(x)+k), when (k < 0), the graph of (y = f(x)) is translated (|k|) units down. In (y=|x - 4|-3), (k=-3). After translating (4) units to the right, we then translate the resulting graph (3) units down.
Answer:
Translate the graph of (y = |x|) (4) units to the right and (3) units down.