Question

A quadratic relation with x-intercepts at -5 and 11 and a minimum value of -25, what is the equation of the quadratic relation in factored form?

A) (x - 5)(x + 11) = -25
B) (x - 5)(x + 11) = 25
C) (x + 5)(x - 11) = -25
D) (x + 5)(x - 11) = 25

Answer 1

The equation of the quadratic relation in factored form is (x + 5)(x - 11) = -25.

Step-by-step explanation:

The equation of the quadratic relation in factored form is (x + 5)(x - 11) = -25.

To obtain the equation in factored form, we use the x-intercepts and the minimum value. The x-intercepts at -5 and 11 represent the roots of the quadratic equation. Since the minimum value is -25, it means the vertex of the parabola is halfway between the x-intercepts.

Therefore, the equation in factored form is (x + 5)(x - 11) = -25.