Graphing Exponential Functions and Their Transformations

What is the first step in graphing an exponential function?

• Calculating the slope

• Identifying the horizontal asymptote

• Finding the y-intercept

• Identifying the parent function

In the exponential function f(x) = a * b^x, what does the 'a' represent?

• The base of the exponent

• The vertical shift

• The horizontal shift

• The vertical stretch or shrink

If the absolute value of 'a' is less than 1, what transformation occurs?

• Reflection across the x-axis

• Vertical shrink

• Horizontal shift

• Vertical stretch

What does the 'h' in the exponential function f(x) = a * b^(x-h) + k represent?

• Horizontal shift

• Vertical shift

• Reflection across the y-axis

• Vertical stretch

How does a positive 'h' value affect the graph of an exponential function?

• Shifts it to the right

• Shifts it to the left

• Moves it down

• Moves it up

What is the horizontal asymptote of the function f(x) = a * b^x + k?

• y = x

• y = k

• y = b

• y = a

How do you find the y-intercept of an exponential function?

• Set y to 1 and solve for x

• Set x to 1 and solve for y

• Set y to 0 and solve for x

• Set x to 0 and solve for y

What is the y-intercept of the function f(x) = 3 * 2^(x+4) - 1?

• 47

• 48

• 16

• 3

If the function f(x) = 2^x has a horizontal asymptote at y = 3, what is the value of k?

• 3

• 2

• 0

• 4

What transformation does a negative 'k' value cause in an exponential function?

• Reflects the graph across the x-axis

• Reflects the graph across the y-axis

• Shifts the graph down

• Shifts the graph up