Questions: The graph of y=h(x) is shown. Draw the graph of y=-h(x)-4.

The graph of y=h(x) is shown. Draw the graph of y=-h(x)-4.
Transcript text: The graph of $y=h(x)$ is shown. Draw the graph of $y=-h(x)-4$.
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Solution

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Solution Steps

Step 1: Identify the transformation

The given function is \( y = h(x) \). We need to draw the graph of \( y = -h(x) - 4 \).

Step 2: Apply the transformation

The transformation involves two steps:

  1. Reflect \( h(x) \) over the x-axis to get \( -h(x) \).
  2. Shift the resulting graph downward by 4 units to get \( -h(x) - 4 \).

Final Answer

The transformed function is \( y = -h(x) - 4 \).

{"axisType": 3, "coordSystem": {"xmin": -10, "xmax": 10, "ymin": -10, "ymax": 10}, "commands": ["y = -h(x) - 4"], "latex_expressions": ["$y = -h(x) - 4$"]}

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