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.