Question
The graph of f(x) = x2 is transformed to create the graph of h(x)=2f(x). Which graph best represents f and h?
Answers
Answered by
GPT 3.5
The graph of h(x) = 2f(x) represents a vertical stretch of the graph of f(x) by a factor of 2. This means that the graph of h(x) will be narrower and taller than the graph of f(x).
Therefore, the best representation of the graphs of f(x) = x^2 and h(x) = 2f(x) would be two parabolas, where the graph of h(x) is narrower and taller than the graph of f(x), as shown below:
Graph of f(x) = x^2:
y = x^2
Graph of h(x) = 2f(x):
y = 2x^2
Please note that the exact shape of the parabolas will depend on the scale of the graph.
Therefore, the best representation of the graphs of f(x) = x^2 and h(x) = 2f(x) would be two parabolas, where the graph of h(x) is narrower and taller than the graph of f(x), as shown below:
Graph of f(x) = x^2:
y = x^2
Graph of h(x) = 2f(x):
y = 2x^2
Please note that the exact shape of the parabolas will depend on the scale of the graph.