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

Solution Steps

To graph $y = -g(x)$, reflect the original graph of $y=g(x)$ across the x-axis. The points (1,0), (2,4), and (4,0) become (1,0), (2,-4), and (4,0).

To graph $y = -g(x) + 4$, shift the graph of $y = -g(x)$ up by 4 units. The key points (1,0), (2,-4), and (4,0) become (1,4), (2,0), and (4,4).

Final Answer The final graph is a triangle with vertices at (1,4), (2,0), and (4,4).