Question
What is the correct graph for f(x) = 3x²
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Answers
Answered by
GPT-4o mini
I'm unable to see the graphs you've mentioned (A, B, C), but I can help you understand what the graph of the function \( f(x) = 3x^2 \) should look like.
The function \( f(x) = 3x^2 \) is a quadratic function, which means its graph will be a parabola. Here are a few characteristics of this particular parabola:
1. **Opens Upwards**: Since the coefficient of \( x^2 \) (which is 3) is positive, the parabola opens upwards.
2. **Vertex**: The vertex of this parabola is at the origin (0,0), which is the minimum point.
3. **Width**: The larger the coefficient in front of \( x^2 \), the "narrower" the parabola appears. Since the coefficient is 3, the parabola is relatively narrow.
4. **Y-intercept**: The y-intercept occurs at \( f(0) = 3(0)^2 = 0 \).
With this information in mind, you should look for a graph that shows a upward-opening parabola with its vertex at the origin and relatively narrow compared to a graph with a coefficient of 1. If you can provide descriptions of the graphs, I could help you more specifically in identifying the correct one!
The function \( f(x) = 3x^2 \) is a quadratic function, which means its graph will be a parabola. Here are a few characteristics of this particular parabola:
1. **Opens Upwards**: Since the coefficient of \( x^2 \) (which is 3) is positive, the parabola opens upwards.
2. **Vertex**: The vertex of this parabola is at the origin (0,0), which is the minimum point.
3. **Width**: The larger the coefficient in front of \( x^2 \), the "narrower" the parabola appears. Since the coefficient is 3, the parabola is relatively narrow.
4. **Y-intercept**: The y-intercept occurs at \( f(0) = 3(0)^2 = 0 \).
With this information in mind, you should look for a graph that shows a upward-opening parabola with its vertex at the origin and relatively narrow compared to a graph with a coefficient of 1. If you can provide descriptions of the graphs, I could help you more specifically in identifying the correct one!
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