https://file.aiquickdraw.com/mathbot/file/1727446913698o4j0ns4x.jpg

The image contains a problem in Indonesian. Here’s the translation and interpretation:

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**Exercise:**

Given: \( x = y^2 \)

1. Find the curve tracing process.
2. Use the important characteristics of a quadratic function.
3. Draw the curve.

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### Solution:

1. **Curve Tracing Process**:
   - The equation \( x = y^2 \) represents a parabola.
   - In standard form, this equation is horizontal since the variable \( x \) is on the left-hand side, and \( y^2 \) on the right. The general form is \( x = a y^2 + b \), which in this case simplifies to \( x = y^2 \).
   - This is a parabola that opens to the right, with the vertex at \( (0, 0) \).

2. **Important Characteristics of a Quadratic Function**:
   - Symmetry: The parabola is symmetric about the x-axis because \( y^2 \) is the same for positive and negative values of \( y \).
   - Vertex: The vertex is at the origin \( (0, 0) \).
   - Direction: The parabola opens to the right because \( y^2 \) is always non-negative, meaning \( x \geq 0 \).

3. **Graph the Curve**:
   - The curve should be a parabola with its vertex at \( (0, 0) \), opening to the right. The general shape is similar to the standard vertical parabola \( y = x^2 \), but rotated by 90 degrees.

Let me know if you want a graph of this curve or further explanations.

### Additional Questions:
1. How does this parabola differ from the standard vertical parabola \( y = x^2 \)?
2. What happens to the shape of the parabola if we change the equation to \( x = -y^2 \)?
3. Can this equation be expressed in parametric form?
4. How does symmetry play a role in the graph of \( x = y^2 \)?
5. What would happen if we translated the parabola to have a different vertex?

### Tip:
When graphing parabolas, always look for the vertex and axis of symmetry to determine the orientation and direction of the curve.

Diketahui: x = y^2. Cari curve tracing process, gunakan ciri penting dari suatu fungsi kuadrat, gambarkan kurvanya.

Learn the curve tracing process for the equation x = y^2, highlighting the key characteristics of a quadratic function and graphing the resulting parabola. This problem is ideal for students in Grades 10-12 studying quadratic functions and parabolic curves.

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