What is the parent graph and equation for an exponential growth equation

The video tutorial explains exponential growth, starting with the basic formula y = b^x, where b > 1. It discusses the characteristics of exponential growth graphs, including their increasing nature and Y-intercept at (0,1). The tutorial also covers transformations of exponential graphs, such as shifts and stretches, using the formula y = a * b^(x-h) + k. These transformations affect the graph's position and shape, similar to quadratic functions.

What is the condition for the base 'b' in an exponential growth function?

• b must be greater than 1

• b must be equal to 0

• b can be any real number

• b must be less than 1

What is the y-intercept of an exponential growth graph?

• (0, 0)

• (1, 0)

• (0, 1)

• (1, 1)

How does the graph of an exponential function behave as it moves to the right?

• It oscillates

• It increases

• It decreases

• It remains constant

In the transformation formula y = a * b^(x-h) + k, what does 'h' represent?

• Vertical shift

• Horizontal shift

• Vertical stretch

• Horizontal stretch

What effect does 'k' have in the transformation of an exponential graph?

• It compresses the graph vertically

• It stretches the graph horizontally

• It shifts the graph left or right

• It shifts the graph up or down