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The quadratic function provided is \( f(x) = -3x^2 + 7x + 5 \). You're asked to find the y-intercept.

### Finding the y-intercept:
The y-intercept of a function occurs where \( x = 0 \). To find the y-intercept, substitute \( x = 0 \) into the equation for \( f(x) \):

\[
f(0) = -3(0)^2 + 7(0) + 5
\]

Simplifying:

\[
f(0) = 5
\]

Thus, the y-intercept is 5. Therefore, the correct choice is:
- **A. The y-intercept is 5.**

Let me know if you'd like further clarification or details. Here are some related questions for further practice:

1. How do you find the vertex of a quadratic function?
2. What is the formula for the axis of symmetry of a quadratic function?
3. Can a quadratic function have more than one y-intercept?
4. How do you determine if a quadratic function opens upward or downward?
5. What is the discriminant of a quadratic equation and how does it affect the graph?

### Tip:
The y-intercept of any function can always be found by setting \( x = 0 \) in the function.

Use the quadratic function f(x) = -3x^2 + 7x + 5 to find the y-intercept.

Learn how to find the y-intercept of the quadratic function f(x) = -3x^2 + 7x + 5. Detailed steps involve setting x to 0, making this suitable for students in Grades 8-10.

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