Question

What are key features of the function f(x)=5x²+20x-105?

Answer 1

The key features of the function f(x) = 5x² + 20x - 105 are the quadratic term, leading coefficient, y-intercept, and vertex.

Step-by-step explanation:

The key features of the function f(x) = 5x² + 20x - 105 are:

1. Quadratic term: The highest power of x is ², indicating that the function is a quadratic function.
2. Leading coefficient: The leading coefficient is 5, which determines the shape and direction of the parabola.
3. y-intercept: The y-intercept is -105, indicating the point where the parabola intersects the y-axis.
4. Vertex: The vertex of the parabola is the minimum or maximum point of the function. To find the vertex, we can use the formula x = -b/2a, where a is the coefficient of the quadratic term and b is the coefficient of the linear term.