Question

Question 15 of 25

Suppose f(x)=x² and g(x) = (3x)2. Which statement best compares the graph
of g(x) with the graph of f(x)?
A. The graph of g(x) is shifted 3 units to the right.
B. The graph of g(x) is vertically stretched by a factor of 3.
C. The graph of g(x) is horizontally stretched by a factor of 3.
D. The graph of g(x) is horizontally compressed by a factor of 3.
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Answer 1

The function g(x) is equal to (3x)^2, which simplifies to 9x^2. This means that g(x) is a vertical stretch of f(x) = x^2 by a factor of 9.

Therefore, the correct answer is B. The graph of g(x) is vertically stretched by a factor of 3 compared to the graph of f(x).

Answer 2

The function g(x) = (3x)² can be simplified to g(x) = 9x², which is a vertical stretch of f(x) = x² by a factor of 9.

Therefore, the correct answer is B. The graph of g(x) is vertically stretched by a factor of 3 compared to the graph of f(x).