Graphing logarithmic equations

The video tutorial explains how to graph the function Y = -2Ln(X) + 4 by identifying and applying transformations. It starts with graphing the parent function Y = 2Ln(X), creating a table of values, and then applying transformations such as reflection over the X-axis and a vertical shift. The tutorial concludes with analyzing the asymptote, domain, and range of the transformed graph.

What transformation is applied to the function Y = -2 Ln(X) + 4 to shift it vertically?

• Shift 4 units down

• Shift 4 units up

• Shift 2 units up

• Shift 2 units down

What is the parent function of Y = -2 Ln(X) + 4?

• Y = -Ln(X)

• Y = 2 Ln(X)

• Y = -2 Ln(X)

• Y = Ln(X)

When graphing the parent function Y = 2 Ln(X), what is the approximate value of Y when X = 3?

• 2.2

• 1.8

• 3.0

• 2.0

What happens to the graph of Y = 2 Ln(X) when it is reflected over the X-axis?

• It shifts to the right

• It shifts to the left

• It flips upside down

• It remains unchanged

After reflecting the graph over the X-axis and shifting it up, what is the new Y-coordinate of the point (3, -2.2)?

• 1.8

• 2.2

• 0.8

• 3.2

What is the asymptote of the transformed function Y = -2 Ln(X) + 4?

• X = 0

• Y = 0

• Y = 4

• X = 4

What is the range of the transformed function Y = -2 Ln(X) + 4?

• 0 to 4

• 0 to Infinity

• Negative Infinity to 0

• Negative Infinity to Infinity