https://file.aiquickdraw.com/mathbot/file/1725867918594jjh7kc21.jpg

The graph shows a parabola, and the question asks for the values of \( f(5) \), \( f(8) \), and where \( f(x) = 1 \).

### 1. Find \( f(5) \) and \( f(8) \):

- \( f(5) \): From the graph, when \( x = 5 \), the y-coordinate is approximately **2**.
- \( f(8) \): When \( x = 8 \), the y-coordinate is approximately **-2**.

### 2. Solve \( f(x) = 1 \):

- The graph shows that \( f(x) = 1 \) at **two points**, around \( x = 2 \) and \( x = 6.5 \).

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### Related Questions:

1. What is the vertex form of a parabola, and how can we find it?
2. How do you determine the axis of symmetry from a parabolic graph?
3. How can we derive the equation of a parabola given its graph?
4. What does the y-intercept represent on a graph?
5. How do you find the x-intercepts (roots) of a quadratic function?

**Tip:** Always check values on a graph carefully; slight errors can affect answers.

Find f(5), f(8), and the points where f(x) = 1 from the parabola shown.

In this lesson, we interpret a quadratic function graph to find specific function values like f(5), f(8), and solve for f(x) = 1. The problem involves key algebraic concepts such as the quadratic formula, vertex theorem, and graph reading. Ideal for Grades 9-11.

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