Graphing logarithmic equations

The video tutorial explains how to graph logarithmic functions by applying transformations. It begins with identifying shifts in the graph based on the equation, then discusses the parent function and converting it to exponential form. The tutorial continues with graphing points, identifying asymptotes, and shifting the graph. Finally, it covers updating the domain, range, and asymptote after transformations.

What transformation is applied to the graph when the equation includes 'X - 4'?

• Shift 2 units down

• Shift 4 units to the left

• Shift 4 units to the right

• Shift 2 units up

How does the '1/2' coefficient affect the parent function of the logarithmic equation?

• It shifts the graph vertically

• It compresses the graph horizontally

• It stretches the graph vertically

• It compresses the graph vertically

What is the base of the logarithm in the parent function?

• 4

• 2

• 6

• 8

When creating a table of values, which x-values are typically chosen for the graph?

• X = 0 and X = 2

• X = 1 and X = 6

• X = 3 and X = 5

• X = 2 and X = 4

What is the new asymptote of the graph after applying the transformations?

• X = 6

• X = 4

• X = 2

• X = 0

How does the range of the graph change after the transformations?

• From -Infinity to 0

• From 0 to Infinity

• From 0 to 4

• From -Infinity to Infinity

What is the domain of the transformed graph?

• From 6 to Infinity

• From 0 to Infinity

• From 2 to Infinity

• From 4 to Infinity