What Is the Minimum Vertical Distance Between the Parabolas $y=x^{2}+4$ And $y=x-x^{2}$

question 109

Short Answer

What is the minimum vertical distance between the parabolas $y=x^{2}+4$ and $y=x-x^{2}$ ?

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Definitions:

Cognitive-behavioral Therapy

A form of psychotherapy that treats problems by modifying dysfunctional emotions, behaviors, and thoughts.

Maladaptive Beliefs

Thoughts or beliefs that are counterproductive or harmful to one’s ability to function effectively.

Systematic Desensitization

A therapy technique used to treat phobias and anxiety by gradually exposing the person to the anxiety source in a controlled environment.

Muscle Relaxation

A technique used to alleviate stress or tension in the muscles through exercises, often involving the deliberate tension and then relaxation of specific muscle groups.