What does a exponential graph look like and what are the transformations

The video tutorial introduces and reviews basic functions such as identity, quadratic, and absolute value functions, along with their transformations. It then introduces exponential functions, explaining their properties, graph behavior, and exponential growth. The tutorial concludes with a discussion on transformations specific to exponential functions, including the roles of H, K, and A in graph movement and reflection.

Which of the following functions is known as the identity function?

• y = x

• y = |x|

• y = x^2

• y = 2^x

What is the general form of an exponential function?

• y = a * b^x

• y = a * |x| + b

• y = a * x + b

• y = a * x^2 + b

What happens to the value of an exponential function as the exponent increases?

• It increases

• It oscillates

• It remains constant

• It decreases

What is the y-intercept of any exponential function?

• (1, 1)

• (0, 0)

• (1, 0)

• (0, 1)

In the transformation form of an exponential function, what does the parameter 'H' affect?

• Horizontal shift

• Reflection

• Vertical shift

• Vertical stretch

How does the parameter 'K' in the transformation form of an exponential function affect the graph?

• It reflects the graph

• It compresses the graph

• It shifts the graph up or down

• It shifts the graph left or right

What role does the parameter 'A' play in the transformation of an exponential function?

• It changes the base of the exponent

• It shifts the graph vertically

• It shifts the graph horizontally

• It stretches or compresses the graph