Determine the Constants A, B, and C Such That the Parabola

question 58

Essay

Determine the constants A, B, and C such that the parabola passes through the point and is tangent to the line y = x + at the point where x = -3.

---

Definitions:

Eversion

The act of turning inside out or being turned inside out, typically used in medical contexts to describe a part of the body.

Abduction

The movement of a limb or other part away from the midline of the body or from another part.

Flexion

The action of bending or the condition of being bent, often in reference to a limb or joint in the body.

Extension

The act of increasing the length or duration of something, or a continuation of space or time.