Vertical Asymptotes and Graph Transformations

The video tutorial explains how to find the asymptotes of the graph of y = log base 3 of (X + 4). It begins by discussing the graph of y = log base 3 of X, which has a vertical asymptote at x = 0. The tutorial then explains that adding 4 to X shifts the graph 4 units to the left, resulting in a new vertical asymptote at x = -4. The video concludes by confirming that x = -4 is the correct answer.

What is the main focus of the problem discussed in the video?

• Determining the asymptotes of the graph

• Calculating the slope of the graph

• Finding the x-intercept of the graph

• Identifying the y-intercept of the graph

What is the vertical asymptote of the graph y = log base 3 of X?

• x = 1

• x = -1

• x = 3

• x = 0

Through which point does the graph of y = log base 3 of X pass?

• (1, 0)

• (3, 0)

• (0, 3)

• (0, 1)

What happens to the graph when 4 is added to X in y = log base 3 of (X + 4)?

• The graph shifts 4 units to the right

• The graph shifts 4 units to the left

• The graph shifts 4 units up

• The graph shifts 4 units down

How does adding 4 to X affect the vertical asymptote?

• It moves 4 units up

• It moves 4 units to the left

• It moves 4 units down

• It moves 4 units to the right

What is the new equation of the vertical asymptote after the transformation?

• x = 3

• x = 4

• x = -4

• x = 0

Which choice correctly represents the new vertical asymptote?

• Choice A

• Choice B

• Choice C

• Choice D