Graphing exponential growth equations

The video tutorial explains how to graph an exponential function using transformations. It covers reflecting the graph over the Y-axis and shifting it left. The tutorial also discusses determining the domain, range, and asymptote of the transformed graph.

What are the two transformations applied to the function y = -3 * 2^x + 2?

• Reflection over the X-axis and shift 2 units left

• Reflection over the Y-axis and shift 2 units left

• Reflection over the Y-axis and shift 2 units right

• Reflection over the X-axis and shift 2 units right

What is the base function used to graph the parent function?

• y = 3 * 2^x

• y = 3^x

• y = x^2

• y = 2^x

Which points are crucial when creating a table of values for an exponential function?

• Where the graph crosses the X-axis and Y-axis

• Where the graph crosses the Y-axis and when x = 1

• Where the graph crosses the origin and when x = 2

• Where the graph crosses the X-axis and when x = 1

What happens to the graph when it is reflected over the X-axis?

• The graph is flipped over the Y-axis

• The graph is flipped over the X-axis

• The graph shifts downwards

• The graph shifts upwards

After reflecting the graph, what are the new coordinates of the point (0, 3)?

• (3, 0)

• (-3, 0)

• (0, 3)

• (0, -3)

What is the new range of the function after all transformations?

• Negative infinity to positive infinity

• 0 to positive infinity

• 0 to negative infinity

• Negative infinity to 0

What remains unchanged in the graph after the transformations?

• The asymptote

• Both the asymptote and domain

• The range

• The domain