Answer:
we conclude that g(x) = 9x² is the result of f(x) vertically stretched by multiplying each of its y-coordinates by 9.
Also, check the attached graph is matched with option B.
Hence, option (B) is the correct graph.
Step-by-step explanation:
Given
- f(x) = x²
- g(x) = f(3x)
so
- g(x) = (3x)² = 9x²
Thus, the graph of g(x) = 9x² is shown below.
From the graph, it is clear that at x = 0, y = 0
So, the y-intercept is at (0, 0).
Clearly
- f(x) = x²
- g(x) = 9x²
Note that the vertex of the graph also lies at (0, 0), because it is clear that g(x) = 9x² is the result of f(x) vertically stretched by multiplying each of its y-coordinates by 9.
Since 9 > 0, it means g(x) = 9x² is vertically stretched by multiplying each of its y-coordinates by 9.
Therefore, we conclude that g(x) = 9x² is the result of f(x) vertically stretched by multiplying each of its y-coordinates by 9.
Also, check the attached graph is matched with option B.
Hence, option (B) is the correct graph.
