Transforming Exponential Functions

What is the parent function discussed in the video?

• f(x) = x^2

• f(x) = x/2

• f(x) = 2^x

• f(x) = 2x

In exponential functions, where do we look for horizontal shifts?

• Outside the exponent

• Inside the exponent

• Outside the parentheses

• Inside the parentheses

If a function f(x) = 2^x is transformed to g(x) = 2^(x-3), what kind of shift has occurred?

• Shifted 3 units to the right

• Shifted 3 units to the left

• Shifted 3 units down

• Shifted 3 units up

What does the transformation g(x) = 2^x - 4 represent?

• Shifted 4 units up

• Shifted 4 units down

• Shifted 4 units to the left

• Shifted 4 units to the right

How is the function f(x) = 2^x transformed to reflect over the x-axis?

• g(x) = -2^x

• g(x) = 2^-x

• g(x) = 2^(x+1)

• g(x) = 2^(x-1)

What does the transformation f(x) = 2^x + 4 indicate?

• The function moves 4 units to the left

• The function moves 4 units to the right

• The function moves 4 units up

• The function moves 4 units down

If f(x) = 2^x is transformed to g(x) = 2^(x-5), what is the transformation?

• Moves 5 units to the right

• Moves 5 units up

• Moves 5 units down

• Moves 5 units to the left

What does the transformation g(x) = -2^x represent?

• The function reflects over the y-axis

• The function reflects over the x-axis

• The function moves 2 units down

• The function moves 2 units up

How would you write the transformation of f(x) = 2^x that moves 7 units to the left and 4 units down?

• g(x) = 2^(x-7) + 4

• g(x) = 2^(x+7) + 4

• g(x) = 2^(x-7) - 4

• g(x) = 2^(x+7) - 4

In the transformation g(x) = 2^(x+7) - 4, what does the +7 inside the exponent indicate?

• Shift 7 units to the right

• Shift 7 units down

• Shift 7 units to the left

• Shift 7 units up