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https://file.aiquickdraw.com/mathbot/file/1727437171261ot8uzuaa.jpg

using the first image as an example solve the equation on the second image

To solve the equation in the second image, which asks to find the value of \( f(-3) \) based on the graph of \( y = f(x) \), we will follow the same approach used in the first image example.

### Steps:

1. **Locate \( x = -3 \) on the horizontal axis**.
   - On the graph, find the point where \( x = -3 \).

2. **Determine the corresponding \( y \)-value**.
   - Find the point on the graph at \( x = -3 \) and trace vertically to where it intersects the curve \( y = f(x) \).

3. **Read the \( y \)-coordinate**.
   - At \( x = -3 \), the curve reaches a \( y \)-value of \( 4 \).

### Solution:
Thus, \( f(-3) = 4 \).

Do you want further details or have any questions about the solution?

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Here are 5 related questions:
1. How do you find \( f(x) \) for any given value of \( x \) from a graph?
2. What is the significance of the maximum point on the graph of \( y = f(x) \)?
3. How do you determine the symmetry of a graph like this?
4. Can you explain what the \( x \)-intercepts represent for the function \( f(x) \)?
5. What would \( f(0) \) be based on the second graph?

**Tip:** When analyzing a graph, always double-check the axis scales to ensure correct \( x \)- and \( y \)-coordinate interpretation.

Using the first image as an example solve the equation on the second image

Learn how to find specific function values from a graph using an example. In this problem, we solve for f(-3) by analyzing a quadratic function graph, following a step-by-step approach. Suitable for students in Grades 8-10.

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