Describe How to Transform the Graph of an Appropriate Monomial $$g ( x ) = 5 ( x + 3 ) ^ { 4 } + 2$$

question 301

Essay

Describe how to transform the graph of an appropriate monomial function f(x) = xn into the graph of the given
polynomial function. Then sketch the transformed graph.
- $$g ( x ) = 5 ( x + 3 ) ^ { 4 } + 2$$

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Definitions:

Echinoderms

A phylum of marine animals characterized by radial symmetry, a calcareous skeleton, and a water vascular system; includes starfish, sea urchins, and sea cucumbers.

Parasitizes

Describes the action of living as a parasite in or on another organism, exploiting the host for sustenance without mutual benefit.

Biramous Appendages

Appendages with two jointed branches extending from their base. Compare with uniramous appendages.

Arthropods

A large group of invertebrate animals that includes insects, spiders, crustaceans, and others, characterized by segmented bodies, exoskeletons, and jointed limbs.