How to determine the characteristics of a logarithmic graph transformed - Online Tutor

The video tutorial explains how to determine the domain, X intercept, and asymptote of a logarithmic equation. It covers the basic structure of logarithmic equations, graphing techniques, and transformations such as shifting and inversion. The tutorial concludes with a summary of the steps to identify key elements of the graph.

What is the initial X-intercept of a logarithmic equation before any transformations?

• (0, 1)

• (1, 0)

• (0, 0)

• (1, 1)

How does a shift of 2 units to the right affect the asymptote of a logarithmic function?

• It moves the asymptote to y = -2

• It moves the asymptote to x = -2

• It moves the asymptote to y = 2

• It moves the asymptote to x = 2

What effect does a negative sign in front of a logarithmic function have on its graph?

• It reflects the graph over the X-axis

• It reflects the graph over the Y-axis

• It shifts the graph downwards

• It shifts the graph upwards

After shifting the graph 2 units to the right, what is the new X-intercept?

• (2, 0)

• (0, 2)

• (0, 3)

• (3, 0)

What is the domain of the transformed logarithmic function?

• From 2 to infinity

• From -2 to infinity

• From -infinity to 0

• From 0 to infinity