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To find the y-intercept of the function \( f(x) = 2x^2 - 5x - 9 \), we need to evaluate the function at \( x = 0 \).

### Calculation
\[
f(0) = 2(0)^2 - 5(0) - 9 
\]
\[
f(0) = -9
\]

Thus, the y-intercept is \((-9\)) when \(x = 0\).

### Final Answer
The y-intercept as an ordered pair is \((0, -9)\).

Would you like a detailed explanation or have any questions?

Here are 5 additional related questions for further practice:
1. What is the x-intercept of the function \( f(x) = 2x^2 - 5x - 9 \)?
2. How would you find the vertex of the quadratic function \( f(x) = 2x^2 - 5x - 9 \)?
3. How does changing the coefficient of \( x^2 \) affect the graph of a quadratic function?
4. Can a quadratic function have more than one y-intercept? Why or why not?
5. How do you determine if a quadratic function opens upwards or downwards?

**Tip:** The y-intercept is always found by substituting \( x = 0 \) in the function.

What is the y-intercept of the function f(x) = 2x^2 - 5x - 9?

Learn how to find the y-intercept of the quadratic function f(x) = 2x^2 - 5x - 9 by substituting x = 0. This example covers key quadratic function concepts, suitable for students in Grades 9-10.

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