Learn how to graph an exponential function with reflection & horizontal shift

The video tutorial covers graphing the parent graph y = 2^x, identifying and applying transformations such as reflection over the x-axis and shifting left. It also discusses identifying asymptotes and understanding the domain and range of exponential functions.

What is the base function of the parent graph discussed in the video?

• y = 3^x

• y = x^2

• y = x^3

• y = 2^x

What effect does a negative sign have on the graph of an exponential function?

• Shifts the graph to the right

• Shifts the graph up

• Reflects the graph over the y-axis

• Reflects the graph over the x-axis

How does adding a positive constant to the exponent affect the graph?

• Stretches the graph vertically

• Shifts the graph to the left

• Reflects the graph over the y-axis

• Shifts the graph to the right

What is the first step in applying transformations to the parent graph?

• Reflect the graph over the x-axis

• Shift the graph up

• Reflect the graph over the y-axis

• Identify the asymptotes

After reflecting the graph over the x-axis, what is the next transformation applied?

• Shift the graph up

• Shift the graph to the right

• Reflect the graph over the y-axis

• Shift the graph to the left

What is the horizontal asymptote of the transformed graph?

• y = 5

• y = -1

• y = 0

• y = 1

What is the range of the transformed exponential graph?

• (-∞, 5]

• [0, ∞)

• (-∞, 0]

• (-∞, ∞)