https://file.aiquickdraw.com/mathbot/file/1725749124310rcmsguk4.jpg

Let's analyze the image step-by-step to answer the questions provided.

### (a) Does the parabola open upward or downward?
- From the graph, the parabola is opening **upward** because it has a U-shape, and the arms are extending upwards.

### (b) Find the intercepts:
1. **X-intercepts** (where the graph crosses the x-axis):
   - From the graph, the parabola crosses the x-axis at two points. By examining the graph closely, it appears that the x-intercepts are at approximately **(-2, 0)** and **(2, 0)**. Therefore, the x-intercepts are **-2, 2**.

2. **Y-intercepts** (where the graph crosses the y-axis):
   - The graph crosses the y-axis at point **(0, -4)**. Thus, the y-intercept is **-4**.

### Answers:
1. **Upward** (for the direction of the parabola)
2. **X-intercepts:** -2, 2
3. **Y-intercept:** -4

Would you like any further details on this solution or explanations about how to find intercepts?

### Related Questions:
1. How do you find the vertex of a parabola from its graph?
2. What is the standard form equation of a parabola that opens upward?
3. How do you determine the axis of symmetry for a parabola?
4. What are the general properties of parabolas and their equations?
5. How do you convert a parabola from vertex form to standard form?

**Tip:** When dealing with parabolas, always check the sign of the coefficient of the squared term in the equation \( ax^2 + bx + c \). If \( a > 0 \), the parabola opens upward; if \( a < 0 \), it opens downward.

Does the parabola open upward or downward? Find the x-intercepts and y-intercepts.

Learn how to determine if a parabola opens upward or downward and find the x- and y-intercepts using a graphical approach. This problem involves quadratic functions and is suitable for students in Grades 9-11.

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