The text in the image reads:

Contoh: 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.