The effect on the graph would be C. The graph is compressed horizontally and shifted up 1 unit.
How does the graph change ?
Multiplying by 3 inside the absolute value |3x| affects the horizontal stretch or compression of the graph.
This is because for each value of ( x ), the value of |3x| reaches the same height as |x| but three times faster. So, the graph becomes narrower, or compressed horizontally.
Adding 1 to the entire function ( +1 ) affects the vertical shift of the graph. When you add a constant to the entire function, it shifts the graph vertically. In this case, adding 1 shifts the entire graph up by 1 unit.
Combining these two effects, the function g(x) = |3x| + 1 results in a graph that is horizontally compressedand shifted upwards by 1 unit .