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The problem asks you to find \( g(-15) \) given the graph of \( y = g(x) \).

To solve this:

1. Locate \( x = -15 \) on the x-axis.
2. Move vertically to the point where the graph intersects at \( x = -15 \).
3. The corresponding \( y \)-coordinate at this intersection is the value of \( g(-15) \).

**Solution:**

- Looking at the graph, at \( x = -15 \), the graph intersects the y-axis at \( y = 20 \).

Thus, \( g(-15) = 20 \).

Would you like further details or explanations on any part of this problem?

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Here are 5 related questions to explore this topic further:

1. How would you find \( g(0) \) using the same graph?
2. What is the significance of the vertex in a parabolic graph like this one?
3. How can you determine if the graph opens upwards or downwards?
4. What does it mean for a graph to be symmetric, and how does it apply here?
5. Can you calculate the axis of symmetry for this parabola?

**Tip:** When working with graphs, always pay attention to key points like the vertex, intercepts, and symmetry, as they provide important information about the function's behavior.

The graph of y = g(x) is shown below. Find g(-15).

Learn how to find the value of g(-15) from a given parabolic graph. This problem involves understanding graphing concepts and identifying points on a function, suitable for students in Grades 9-10.

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