# Tutor profile: James M.

## Questions

### Subject: SAT

Please improve the sentence below. Tina was excited by the possibility of climbing the Appalachian mountains, driving through the California coastline, and to swim in the Pacific ocean.

The issue in the sentence above is faulty parallelism. Climbing the Appalachian mountains, driving through the California coastline, and to swim in the Pacific Ocean are not parallel. To fix this issue, change "and to swim in the Pacific ocean" to "and swimming in the Pacific Ocean."

### Subject: European History

What is considered to be the start of the Hellenistic period in Ancient Greece? What was unique about the culture of this age?

Historians consider the Hellenistic period to have begun after the death of Alexander the Great. Alexander's conquests of eastern empires brought a wave of Greek thought and influence to the near-east. As a result, the Hellenistic period can be defined as a "fusion" of western and eastern beliefs/practices.

### Subject: Algebra

Find the vertex of the quadratic equation: y=x^2+4x+4. Will the vertex be a minimum or maximum?

1. The quadratic equation is ax^2+bx+c=0 2. Therefore, we want to find the values of a, b, and c from the equation above. 3. A= 1, B=4, C=4 4. We know want to find the x value of the vertex. We can use the equation x=-B/2A 5. x=-4/2(1), simplify to get x=2 6. To get the y value, we can now plug in our x value into the original equation 7. y=2^2+4(2)+4 or y=16 8. Write down the x value as a coordinate: (2, 16) Question 2: Let's look at the quadratic equation ax^2+bx+c=0 again. If a < 0, the vertex will be a maximum. If a > 0, the vertex will be a minimum. **Hint: Graph the original quadratic equation and see what direction the graph flows in

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