Learn how to find sketch the graph of an exponential functions

The video tutorial covers transformations in graphs, focusing on vertical compression, reflections, and shifts. It explains the Y-intercept and how graph reflections occur about the X and Y axes. The tutorial also discusses the importance of asymptote shifts and how they affect the graph's domain and range. Key concepts include understanding how transformations impact graph behavior and the significance of asymptotes in determining the range.

What happens to a graph when it is multiplied by a negative value on the outside of the function?

• It shifts vertically.

• It reflects about the X-axis.

• It compresses horizontally.

• It reflects about the Y-axis.

What is the Y-intercept of the graph discussed in the video?

• (0, 1/2)

• (1, 0)

• (0, 1/4)

• (1/4, 0)

What remains unchanged when a graph is shifted horizontally?

• The slope

• The Y-intercept

• The asymptote

• The X-intercept

How does the graph relate to its asymptote?

• It crosses the asymptote.

• It moves away from the asymptote.

• It approaches the asymptote.

• It remains parallel to the asymptote.

What is the domain of the graph discussed?

• Negative Infinity to 0

• 3 to Infinity

• 0 to Infinity

• Negative Infinity to Infinity

Why is the range of the graph expressed with a parenthesis at 3?

• Because 3 is the maximum value of the graph.

• Because the graph touches the asymptote at 3.

• Because 3 is a point on the graph.

• Because the graph approaches but does not touch 3.

What is the range of the graph after the transformation?

• Negative Infinity to 0

• 0 to 3

• 3 to Infinity

• Negative Infinity to 3