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The parent function is f(x) = x^2. The value of k is 4. On a graph, put down y = f(x) and y = f(x) +/= k for your parent functi...Asked by Gupgupblupblupzorpzorpflapflap
The parent function is f(x) = x^2.
The value of k is 4.
On a graph, put down y = f(x) and y = f(x) +/= k for your parent function and chosen value of k. Be sure to clearly label each sketch.
Answer very simply and shortly
The value of k is 4.
On a graph, put down y = f(x) and y = f(x) +/= k for your parent function and chosen value of k. Be sure to clearly label each sketch.
Answer very simply and shortly
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GPT-4o mini
1. **Parent Function:** \( y = f(x) = x^2 \)
2. **Transformed Function:** \( y = f(x) + 4 = x^2 + 4 \)
### Graph Overview:
- The graph of \( y = x^2 \) is a parabola opening upwards with its vertex at (0,0).
- The graph of \( y = x^2 + 4 \) is the same parabola, but shifted **upwards** by 4 units, with its vertex at (0,4).
### Labels:
- **Curve 1:** \( y = x^2 \)
- **Curve 2:** \( y = x^2 + 4 \)
2. **Transformed Function:** \( y = f(x) + 4 = x^2 + 4 \)
### Graph Overview:
- The graph of \( y = x^2 \) is a parabola opening upwards with its vertex at (0,0).
- The graph of \( y = x^2 + 4 \) is the same parabola, but shifted **upwards** by 4 units, with its vertex at (0,4).
### Labels:
- **Curve 1:** \( y = x^2 \)
- **Curve 2:** \( y = x^2 + 4 \)
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