Question

What information can I obtain from the factored form of a quadratic equation?

A) The x-intercepts or roots of the equation
B) The vertex of the parabola
C) The axis of symmetry
D) The maximum or minimum value of the quadratic function

Answer 1

The factored form of a quadratic equation provides information about the x-intercepts, vertex, axis of symmetry, and maximum or minimum value of the quadratic function. Hence, all are true.

Step-by-step explanation:

The factored form of a quadratic equation provides valuable information about the equation. From the factored form, you can obtain:

1. The x-intercepts or roots of the equation: The factored form shows the values of x where the quadratic equation equals zero, which are the x-intercepts or roots of the equation.
2. The vertex of the parabola: The factored form reveals the x-coordinate of the vertex by finding the average of the x-intercepts.
3. The axis of symmetry: The factored form identifies the vertical line that passes through the vertex, which is the axis of symmetry.
4. The maximum or minimum value of the quadratic function: The minimum or maximum value occurs at the vertex, and the factored form helps determine whether it is a minimum or maximum.