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If *f*(*x*)=−1, use the figure below to solve for *x*.

To solve for \( x \) when \( f(x) = -1 \) using the graph provided, follow these steps:

1. The equation \( f(x) = -1 \) tells us that we are looking for the \( x \)-coordinates where the graph intersects the line \( y = -1 \).
2. Look at the graph and find the points where the graph intersects the horizontal line \( y = -1 \).
3. The graph intersects \( y = -1 \) at two points: \( x = -2 \) and \( x = 2 \).

Thus, the solutions are \( x = -2 \) and \( x = 2 \).

Would you like more details or have any questions?

Here are 5 related questions to expand on this:

1. What is the vertex of this parabola?
2. How do we find the axis of symmetry from this graph?
3. What is the equation of this parabola in vertex form?
4. How can we determine if this parabola opens upwards or downwards?
5. How do we solve quadratic equations algebraically if we only have the equation?

**Tip:** When analyzing a graph, always check the symmetry, especially if it represents a quadratic function, as this helps identify key points like the vertex and roots easily.

If f(x) = −1, use the figure below to solve for x.

Learn how to solve for x when f(x) = -1 using the graph of a quadratic function. This problem highlights the key concepts of graphing and finding the x-intercepts where the quadratic curve meets y = -1. Suitable for students in Grades 8-10.

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