What Is The Y-Intercept Of The Quadratic Function F(X) = (X – 8)(X + 3)? (8,0) (0,3) (0,–24) (–5,0)

If you are taking a math class, you might be familiar with the concept of the Y-intercept of a quadratic function. The Y-intercept is the point at which a line intersects with the y-axis on a graph. In other words, it’s the point at which the line crosses 0 on the y-axis. In this article, we will explore what exactly is meant by a Y-intercept and look at an example in order to answer the question “What is the Y-intercept of the Quadratic Function F(X) = (X – 8)(X + 3)?”

What is a Quadratic Function?

A quadratic function is a polynomial function of the form f(x) = ax^2 + bx + c. The graph of a quadratic function is a parabola. The y-intercept of a quadratic function is the point where the graph of the function crosses the y-axis. The x-intercepts of a quadratic function are the points where the graph of the function crosses the x-axis. The roots of a quadratic equation are the x-intercepts of the corresponding quadratic function.

The Y-Intercept of a Quadratic Function

If you’re looking at a quadratic function in standard form (y = ax^2 + bx + c), the y-intercept is simply the c value. In this case, that means it’s -4.

You can also find the y-intercept by plugging in 0 for x in the equation and solving for y. So in this case, you’d get:

y = (0 – 2)(0 + 2)
y = (-2)(2)
y = -4

How to Find the Y-Intercept of a Quadratic Function

To find the y-intercept of a quadratic function, you need to solve for when . This can be done by using the Quadratic Formula:

, where is the discriminant.

For our purposes, we will use the fact that the y-intercept is when , so we set in our equation and solve for :

This means that the y-intercept of is …

The Y-Intercept of the Quadratic Function F(X) = (X – 8)(X + 3)

The y-intercept of the quadratic function F(x) = (x – 8)(x + 3) is (-3, 0). This is because when x = -3, F(-3) = 0.

Conclusion

In this article, we discussed what the Y-intercept of a quadratic function is and how to determine it. We saw that for the function F(x) = (x – 8)(x + 3), the y-intercept is 0. This can be confirmed by plugging in x=0 into the equation, which yields y=0. If you are having trouble understanding the concept of a y-intercept or graphing equations, then consider getting some extra help to fully grasp these topics so you can solve them with confidence!