Graph the Function Using End Behavior, Intercepts and by Completing

question 91

Essay

Graph the function using end behavior, intercepts and by completing the square to write the function in shifted form. Clearly state the transformations used to obtain the graph, and label the vertex and all intercepts (if they exist). Use the quadratic formula to find the x-intercepts.
f(x) = -x² + 4x - 3

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Definitions:

Sternocleidomastoid

The sternocleidomastoid is a muscle in the neck that runs from the sternum and clavicle to the mastoid process of the temporal bone, involved in head movement.

Orbicularis Oculi

A circular muscle that surrounds the eyelid, allowing it to close or blink.

Masseter

A facial muscle that plays a major role in the chewing of food by raising the lower jaw towards the upper jaw.

Quadriceps Femoris

The quadriceps femoris is a group of four muscles located at the front of the thigh, responsible for extending the knee and stabilizing the patella.