Answer:
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A quadratic equation has the general form of:
<span>
y=ax² + bx + c
</span><span>
It can be converted to the vertex form in order to determine the vertex of the parabola. It has the standard form of:
</span><span>
y = a(x+h)² - k
</span><span>
where h, k are the vertex points.
</span><span>
y=-2x^2 + 2x+ 2
</span><span>y=-2(x^2 - x) + 2
</span><span>y + 1/4 = -2 (x^2 -x +1/4) + 2
</span><span>y = -2 (x - 1/2)^2 + 7/4
</span><span>
Therefore, the vertex is (-1/2, -7/4)
</span><span>
at x = 6, y = -58</span>
Cavalier-Smith's model no longer separates prokaryotes and eukaryotes is the statement which differs from kingdom classification.
Explanation:
Cavalier-Smith in 1998 had reduced the kingdom numbers. The were brought down from 8 to 6. These are:
Animalia
Protozoa
fungi
plantae
chromista
bacteria
He divided eukaryotes into 6 kingdoms. The kingdoms are refined for better classification.
While Carolus Linnaeus divided the organisms into two kingdoms
Animalia and plantae.
The five kingdom classification:
Monera (prpkaryotes)
Protista ( unicellular eukaryotes)
fungi (multicellular decomposers)
plantae (multicellular producers)
Animalia (multicellular consumers)
It has drawbacks like in kingdom monera both autotrophs and heterotrophs are included. Phylogeny is not explained in lower organisms of monera and protista. Virus is also in classification. Cavalier-Smith introduced a new kingdom called chromista which are single- celled or multicellular eukaryotic organisms as diatoms, algae, oomycetes and protozoans which perform photosynthesis.
Evidence of evolution. Scientists support the evidence of evolution because of the adaptations organisms used to have in the past compared to the present. For example, humans have organs in their bodies they don't need, but must have been used in ancient times. They can also find that humans have a common ancestor such as monkeys because of the DNA similarities and many adaptations. Hopefully this answered most of your question.
