https://file.aiquickdraw.com/mathbot/file/1728252386606g9929hxs.jpg

The equation provided is:

\[
y = x^2 - 16
\]

### Finding the Intercepts:

1. **Y-Intercept:**
   The y-intercept is found by setting \( x = 0 \) and solving for \( y \).

   \[
   y = 0^2 - 16 = -16
   \]

   So, the y-intercept is the point \( (0, -16) \).

2. **X-Intercepts:**
   The x-intercepts are found by setting \( y = 0 \) and solving for \( x \).

   \[
   0 = x^2 - 16
   \]
   \[
   x^2 = 16
   \]
   \[
   x = \pm 4
   \]

   Therefore, the x-intercepts are at \( (4, 0) \) and \( (-4, 0) \).

### Answer:
- The intercepts are: \( (-4, 0), (4, 0), (0, -16) \).
- For the multiple choice, you would select **A**, and type these intercepts as ordered pairs.

### Graphing:
This equation represents a parabola that opens upwards with its vertex at \( (0, -16) \) and intercepts at \( (-4, 0) \), \( (4, 0) \), and \( (0, -16) \).

Would you like more details or have any further questions?

Here are 5 related questions to explore this further:
1. What is the vertex of the parabola?
2. How does the value of the constant term affect the position of the graph?
3. What would happen if the equation was \( y = -x^2 - 16 \)?
4. How would you find the axis of symmetry for this parabola?
5. Can you describe how to complete the square for the equation \( y = x^2 - 16 \)?

**Tip:** Always start by finding intercepts to graph parabolas effectively, as they provide key points to structure your graph.

Find the intercepts and graph the equation by plotting points for y = x^2 - 16.

Learn how to find the intercepts and graph the quadratic equation y = x^2 - 16 by plotting points. This problem explores key algebraic concepts, such as finding x-intercepts, y-intercepts, and understanding the graphical representation of a parabola. Suitable for students in Grades 8-10.

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