Graphing the logarithmic equation with a horizontal & vertical translation

The video tutorial covers graphing logarithmic functions, starting with the parent graph and identifying key features like the X intercept and vertical asymptote. It then discusses transformations, including shifting the graph down and reflecting it over the Y axis, to achieve the final graph appearance.

What is the X-intercept of the parent logarithmic graph?

• X = 0

• X = 2

• X = 1

• X = -1

What happens to the graph of a logarithmic function when you subtract 2 outside the function?

• It shifts 2 units down

• It shifts 2 units up

• It shifts 2 units to the left

• It shifts 2 units to the right

If a logarithmic function has a negative sign outside, over which axis is it reflected?

• X-axis

• Y-axis

• Z-axis

• No reflection

What is the effect of a negative sign inside the logarithmic function?

• No reflection

• Reflects over both axes

• Reflects over the Y-axis

• Reflects over the X-axis

How does the vertical asymptote change when the graph is shifted down?

• It shifts right

• It remains vertical

• It shifts left

• It becomes horizontal