Complete the Table Using the Graph of f(x)

Math Problem Statement

answer this

Use the graph of f(x) to complete the table.

To complete the table, we need to determine the values of $f(x)$ at specific points $x = -5$ , $x = 0$ , and $x = 3$ using the graph.

For $x = -5$ : The point where $x = -5$ on the graph corresponds to $y = 9$ .
- So, $f(-5) = 9$ .
For $x = 0$ : This is already given in the table.
- $f(0) = 1$ .
For $x = 3$ : The point where $x = 3$ on the graph corresponds to $y = 10$ .
- So, $f(3) = 10$ .

The completed table should look like this:

\hline x & f(x) \\ \hline -5 & 9 \\ 0 & 1 \\ 3 & 10 \\ \hline \end{array}$$ Would you like a further explanation on reading values from graphs? Here are 5 additional questions to consider: 1. What are the coordinates of the vertex of this parabola? 2. How can you determine if a parabola opens upwards or downwards? 3. How would you find the equation of this parabola? 4. What is the axis of symmetry for this graph? 5. How does the value of $$f(x)$$ change as $$x$$ moves further from the vertex? **Tip:** When working with parabolas, the vertex gives the minimum or maximum value depending on the direction the parabola opens.

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Graph Reading
Quadratic Functions
Parabolas

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