Math tutorial for graphing a logarithmic equation with transformations

The video tutorial guides students through graphing the function y = log base 2 of x + 4 + 1. It highlights key features such as the X intercept at (1, 0) and the vertical asymptote at x = 0. The instructor explains how transformations affect the graph, specifically shifting it left by 4 units and up by 1 unit. The importance of the vertical asymptote is emphasized, and students are shown how to redraw the graph with these transformations.

What is the X-intercept of the logarithmic function y = log base 2 of (X + 4) + 1?

• (1, 0)

• (0, 1)

• (4, 0)

• (0, 4)

What is the vertical asymptote of the function y = log base 2 of (X + 4) + 1?

• X = 0

• X = -4

• X = 4

• X = 1

How does the term X + 4 affect the graph of the function y = log base 2 of (X + 4) + 1?

• Shifts the graph 4 units up

• Shifts the graph 4 units down

• Shifts the graph 4 units to the left

• Shifts the graph 4 units to the right

What happens to the vertical asymptote when the graph is shifted by the term X + 4?

• It moves 4 units to the right

• It remains unchanged

• It moves 4 units up

• It moves 4 units to the left

Why is it important to draw the asymptote first when graphing the function?

• It simplifies the calculation of the Y-intercept

• It indicates where the graph approaches but never crosses

• It shows where the graph will cross the X-axis

• It helps in determining the X-intercept