Graphing logarithmic equations

The video tutorial explains how to graph a logarithmic function with base 10, focusing on transformations such as reflection over the Y-axis and shifting. It begins by graphing the parent function Y = log(X), plotting key points, and identifying the asymptote, domain, and range. The tutorial then demonstrates how to apply transformations, including reflecting the graph over the Y-axis and shifting it one unit to the left. The final section summarizes the changes in the graph's domain and range due to these transformations.

What is the base of the logarithm if it is not specified?

• Base 2

• Base 10

• Base e

• Base 5

What is the effect of a negative sign in front of X in a logarithmic function?

• It reflects the graph over the X-axis

• It shifts the graph down

• It shifts the graph up

• It reflects the graph over the Y-axis

How does shifting a logarithmic graph to the left affect its asymptote?

• The asymptote moves to the right

• The asymptote disappears

• The asymptote remains unchanged

• The asymptote moves to the left

What is the new domain of the graph after shifting it one unit to the left?

• From -1 to Infinity

• From 0 to Infinity

• From negative Infinity to 0

• From negative Infinity to -1

What remains unchanged in the graph after applying the transformations?

• The domain

• The range

• The asymptote

• The Y-intercept