Learn how to graph a logarithm with reflections over x and y axis

The video tutorial covers the understanding of logarithmic graphs, emphasizing their inverse relationship with exponential graphs. It explains the importance of recognizing graph transformations, including reflections and dilations, and how these affect the graph's appearance. The tutorial also highlights key points on the graph and concludes with a brief Q&A session.

What is the relationship between the logarithmic graph and the exponential graph?

• The logarithmic graph is a translation of the exponential graph.

• The logarithmic graph is a reflection of the exponential graph over the Y-axis.

• The logarithmic graph is the same as the exponential graph.

• The logarithmic graph is the inverse of the exponential graph.

What effect does a negative sign inside the logarithmic function have on the graph?

• It translates the graph upwards.

• It reflects the graph over the X-axis.

• It reflects the graph over the Y-axis.

• It stretches the graph vertically.

How does the number two affect the logarithmic graph?

• It reflects the graph over the X-axis.

• It vertically stretches the graph.

• It horizontally compresses the graph.

• It reflects the graph over the Y-axis.

What transformation occurs when the logarithmic graph is reflected over the X-axis?

• The graph is stretched horizontally.

• The graph is compressed vertically.

• The graph is inverted vertically.

• The graph is shifted to the right.

Which point is specifically mentioned on the transformed logarithmic graph?

• (0, -1)

• (0, 1)

• (-1, 0)

• (1, 0)