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*Gambarkan kurva permintaan yang ditunjukkan oleh persamaan:*
\[ P = 1 - Q - \frac{1}{4} Q^2 \]

This equation represents a demand curve where \( P \) is the price and \( Q \) is the quantity demanded. 

### Explanation:
The equation is quadratic in terms of \( Q \), which means the graph of this demand curve will be a parabola. To sketch the curve, we would need to:
1. Identify the vertex of the parabola.
2. Determine the behavior of the curve by analyzing the coefficients.
3. Plot a few key points (e.g., where \( Q = 0 \), and other values of \( Q \)).

Since the quadratic term \( -\frac{1}{4} Q^2 \) has a negative coefficient, the parabola will open downwards. The linear term \( -Q \) and the constant term \( 1 \) influence the position and tilt of the curve.

### Steps to graph the curve:
1. **Find the vertex**: Use the formula \( Q = -\frac{b}{2a} \) for the vertex of a parabola, where the equation is in the form \( P = aQ^2 + bQ + c \).
2. **Determine key points**: Calculate the price \( P \) for different values of \( Q \) (e.g., \( Q = 0, 1, 2 \)).
3. **Sketch the curve**: Plot these points and draw a smooth curve that passes through them, noting that it will be a downward-facing parabola.

Would you like me to calculate the vertex and key points, or provide more details about the graph?

### Relative Questions:
1. How do you calculate the vertex of a quadratic function?
2. What does the shape of a demand curve tell us about consumer behavior?
3. How does the coefficient of \( Q^2 \) affect the curvature of the demand curve?
4. How can we find the intercepts of the demand curve?
5. What real-life factors could shift the demand curve horizontally or vertically?

**Tip:** When graphing quadratic functions, it’s helpful to plot several points to understand the full shape of the parabola, especially the vertex and intercepts.

Gambarkan kurva permintaan yang ditunjukkan oleh persamaan: P = 1 - Q - 1/4 * Q^2

Learn how to graph the quadratic demand curve represented by P = 1 - Q - 1/4 * Q^2. This example illustrates key algebraic concepts and provides step-by-step instructions on plotting the curve. Suitable for high school students studying algebra and economics.

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