Graphing an logarithmic equation using transformations

The video tutorial covers transformations of logarithmic functions, focusing on shifting and reflecting graphs. It begins with an introduction to the problem and the importance of understanding transformations. The instructor explains how to create an XY table for the parent function and graph it. The tutorial then demonstrates reflecting the graph over the X-axis and shifting it left. Finally, it shows how to find the X intercept by converting the logarithmic equation into exponential form.

What is the primary focus when learning about transformations in graphing?

• Using calculators to find solutions

• Understanding and writing down transformations

• Memorizing the parent function

• Ignoring transformations and focusing on results

What does the formula a * log base B of (X - H) + K represent in transformations?

• The slope of a line

• The equation of a circle

• The transformations of a logarithmic function

• The area of a triangle

What happens when you multiply a function by a negative outside the function?

• It shifts to the right

• It shifts to the left

• It reflects over the Y-axis

• It reflects over the X-axis

When graphing the parent function of log base three of X, what are the initial points used?

• (0, 0) and (1, 1)

• (0, 1) and (2, 3)

• (1, 0) and (3, 1)

• (1, 1) and (2, 2)

How do you determine the new position of an asymptote after shifting a graph?

• By multiplying the shift value with the original asymptote

• By dividing the shift value by the original asymptote

• By subtracting the shift value from the original asymptote

• By adding the shift value to the original asymptote

What is the effect of shifting a graph 2 units to the left?

• The graph moves 2 units down

• The graph moves 2 units to the right

• The graph moves 2 units up

• The graph moves 2 units to the left

What is the first step in finding the X-intercept of a transformed logarithmic function?

• Converting the logarithmic equation into exponential form

• Calculating the slope

• Finding the Y-intercept

• Graphing the function