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mhortin
17.07.2019 •
Mathematics
Suppose f(x)=x^2 and g(x)=(1/3x)^2. which statement best compares the graph of g(x) with the graph of f(x)? a. the graph of g(x) is the graph of f(x) shifted 1/3 units right. b. the graph of g(x) is the graph of g(x) is the graph of f(x) horizontally stretched by a factor of 3. c. the graph of g(x) is the graph of f(x) vertically stretched by a factor of 3. d. the graph of g(x) is the graph of f(x) horizontally compressed by a factor of 3.
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Ответ:
B. The graph of g(x) is the graph of g(x) is the graph of f(x) horizontally stretched by a factor of 3.
Step-by-step explanation:
Horizontal shifting right by c units,
Horizontally stretched by factor c.
Vertically stretched by factor c. ( where, 0< |c|<1 )
Horizontally compressed by a factor of c. ( where, |b| > 1 )
Here,
When f(x) is shifted 1/3 unit right,
Then, the transformed function is,
When f(x) is stretched horizontally by the factor of 3,
Then, the transformed function is,
When, f(x) vertically stretched by a factor of 3,
Then, the transformed function is,
When, f(x) is horizontally compressed by a factor of 3,
Then, the transformed function is,
Hence, option B is correct.
Ответ:
Vertically compressed by 1/9 not 3
Step-by-step explanation:
See picture attached to see comparison. The parent graph is black and the new graph is red. By adding 1/3 to the graph, the parabola becomes more compressed and wider. It is vertically compressed to become wider.
Ответ: