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Evaluate f(0) and solve for f(x)=-1. If part b has more than one answer, input the larger number in the second field. Otherwise, leave the second field blank.  a) f(0)=. b) f(     ) .  c)f(     ) 

From the graph you provided, let's follow these steps to evaluate and solve:

### Part a) \( f(0) \):
To evaluate \( f(0) \), we look at the value of the function where \( x = 0 \). From the graph, when \( x = 0 \), the function's value appears to be approximately \( 1 \). Therefore:
\[ f(0) = 1 \]

### Part b) Solve for \( f(x) = -1 \):
We now need to find where the graph intersects the line \( y = -1 \). From the graph, we see two points where the graph reaches \( y = -1 \). These points look like they occur approximately at \( x = -2 \) and \( x = 2 \).

Thus, the solutions to \( f(x) = -1 \) are:
1. \( x = -2 \)
2. \( x = 2 \)

Since the problem asks for the larger value in the second field, the answers are:
- First field: \( -2 \)
- Second field: \( 2 \)

### Final answers:
a) \( f(0) = 1 \)

b) \( f(-2) = -1 \), \( f(2) = -1 \)

Would you like any additional details on the steps taken? Here are five related questions that might help you explore this further:

1. How do we find exact values of intersection points algebraically?
2. What are the conditions for a quadratic function to have two roots?
3. How can we find the vertex of this function?
4. How can transformations affect the graph of a function?
5. What would happen if we shift the graph up or down by 2 units?

**Tip:** Always ensure to check both the \( x \)-axis and \( y \)-axis when solving for specific values on a graph to avoid confusion with signs or approximations.

Evaluate f(0) and solve for f(x) = -1. If part b has more than one answer, input the larger number in the second field.

Learn how to evaluate f(0) and solve for f(x) = -1 by analyzing a quadratic graph. This problem includes key concepts such as roots of equations and graphical analysis. Suitable for Grades 9-10.

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