Graphing logarithmic equations

The video tutorial explains how to graph the function Y = -ln(-X + 2) by identifying and applying transformations such as reflections over the X and Y axes and a horizontal shift. The instructor first graphs the parent function ln(X) and then applies the transformations step-by-step, resulting in the final graph. The video also discusses the domain, range, and asymptote of the transformed function.

What transformation is applied when a negative sign is multiplied outside the function?

• Shift to the right

• Shift upwards

• Reflection over the X-axis

• Reflection over the Y-axis

What is the Y-intercept of the parent function ln(X)?

• 0

• Undefined

• 1

• Infinity

What is the domain of the parent function ln(X)?

• (0, Infinity)

• (-Infinity, 0)

• (1, Infinity)

• (-Infinity, Infinity)

After shifting the graph 2 units to the left, what is the new X-coordinate of the point (3, 1.1)?

• 1

• 2

• 0

• -1

What happens to the asymptote after the graph is shifted 2 units to the left?

• It disappears

• It remains at X = 0

• It moves to X = -2

• It moves to X = 2

What is the final domain of the transformed graph?

• (2, Infinity)

• (0, 2)

• (-Infinity, Infinity)

• (-Infinity, 2)

What is the range of the final transformed graph?

• (2, Infinity)

• (0, Infinity)

• (-Infinity, 0)

• (-Infinity, Infinity)