Exponential Function Transformations

The video tutorial explains how to determine the equation of an exponential function from a graph. It covers identifying key features such as horizontal asymptotes and shifts, and calculating the values of A and B using specific points on the graph. The tutorial concludes with a description of the graph's transformations and the final function form.

What is the horizontal asymptote of the given exponential function graph?

• y = 2

• y = -4

• y = 0

• y = 4

How is the exponential function graph shifted due to the horizontal asymptote?

• Shifted right 4 units

• Shifted down 4 units

• Shifted up 4 units

• Shifted left 4 units

What type of transformation does the graph undergo due to the negative 'A' value?

• Reflection across the x-axis

• Horizontal shift

• Vertical compression

• Vertical stretch

Which point is identified as the y-intercept on the graph?

• (0, 4)

• (0, 2)

• (-1, -4)

• (1, 2)

What is the significance of the point (0, 2) in determining the function?

• It is a turning point

• It is the y-intercept

• It is an asymptote

• It is the x-intercept

What is the value of 'A' in the exponential function?

• 2

• -2

• 4

• -4

How do you calculate the value of 'A' using the point (0, 2)?

• Set A + 2 = 4

• Set A - 4 = 2

• Set A - 2 = 4

• Set A + 4 = 2

What is the value of 'B' in the exponential function?

• 1/4

• 1/2

• 1/5

• 1/3

How is the value of 'B' determined using the point (-1, -4)?

• By setting 2B = 8

• By setting -2/B = -8

• By setting -2B = -8

• By setting 2/B = 8

What is the final form of the exponential function?

• F(x) = 2 * (1/2)^x + 4

• F(x) = -2 * (1/2)^x + 4

• F(x) = 2 * (1/4)^x + 4

• F(x) = -2 * (1/4)^x + 4