The video is a GRE preparation tutorial focusing on solving a math problem involving parabolas. It begins with an introduction to the problem and a recap of the previous lesson, which covered transformations of a parabola. The instructor discusses the domain of the function and its properties, emphasizing that there are no limitations on the values x can assume. The video also includes vocabulary lessons on terms like 'recapitulate' and 'forte'.

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• It contains all the answers to the GRE questions.

• It is the only book allowed in the exam.

• It provides a comprehensive set of practice problems.

• It is free for all GRE test-takers.

What was the initial form of the parabola discussed in the previous lesson?

• y = 2x

• y = x^3

• y = x + 2

• y = x^2

What transformation was applied to the parabola to obtain g(x)?

• Shifted down by 5 units

• Shifted up by 5 units

• Shifted left by 20 units

• Shifted right by 20 units

What is the domain of the function j(x)?

• Only integers

• All positive numbers

• All negative numbers

• All real numbers

What is the vertex of the parabola j(x)?

• (-20, 5)

• (0, 0)

• (5, -20)

• (20, -5)

What is the line of symmetry for the parabola j(x)?

• x = 20

• x = 5

• x = -20

• x = 0

What is the approximate value of the square root of 5?

• 2.7

• 2.2

• 2.0

• 2.5

What does the word 'recapitulate' mean?

• To confuse

• To elaborate

• To summarize

• To forget

What is someone's 'forte'?

• Their favorite color

• Their strong point

• Their hobby

• Their weakness