Graphing logarithmic equations

The video tutorial explains how to graph a logarithmic equation with transformations. It begins by discussing transformations and reflections, then moves on to understanding the parent graph of logarithmic equations. The instructor demonstrates graphing the equation without transformations, followed by applying reflections over the X-axis. Finally, the graph is finalized with transformations, and the asymptotes, domain, and range are reviewed.

What happens to a logarithmic function when it is multiplied by a negative value?

• It becomes a constant function.

• It shifts upwards.

• It reflects over the X-axis.

• It shifts to the right.

What is the X-intercept of a parent logarithmic graph with any base?

• (1, 1)

• (0, 0)

• (0, 1)

• (1, 0)

How can you find coordinate points for graphing a logarithmic function?

• By finding the derivative of the function.

• By converting the logarithmic equation to exponential form.

• By using the Pythagorean theorem.

• By using the quadratic formula.

What is the effect of reflecting a graph over the X-axis?

• The graph is inverted vertically.

• The graph shifts downwards.

• The graph becomes a horizontal line.

• The graph shifts to the left.

After applying a reflection over the X-axis, what happens to the range of the logarithmic graph?

• It becomes zero.

• It changes to positive infinity only.

• It becomes finite.

• It remains from negative infinity to positive infinity.