Exploring Function Transformations

What is the main objective of the video on function transformations?

• To understand the basics of algebra

• To analyze the effects on a graph when the parameters of the equation are changed

• To study the properties of logarithms

• To learn how to solve equations

What happens to the graph of f(x) when you add a positive constant to it?

• It shifts to the left

• It shifts to the right

• It shifts upwards

• It shifts downwards

If f(x) is transformed to f(x) - 4, how does the graph shift?

• 4 units right

• 4 units left

• 4 units down

• 4 units up

When f(x) is transformed to f(x + 3), how does the graph shift?

• 3 units up

• 3 units down

• 3 units left

• 3 units right

What is the effect of transforming f(x) to f(x - 2)?

• 2 units right

• 2 units left

• 2 units down

• 2 units up

How does the graph of f(x) change when it is transformed to -f(x)?

• It reflects over the y-axis

• It shifts down

• It reflects over the x-axis

• It shifts up

What happens to the graph of f(x) when it is transformed to 2f(x)?

• It stretches vertically

• It compresses vertically

• It compresses horizontally

• It stretches horizontally

If f(x) is transformed to 1/3 f(x), what is the effect on the graph?

• It compresses horizontally

• It stretches horizontally

• It compresses vertically

• It stretches vertically

What is the effect of transforming f(x) to f(3x)?

• It stretches horizontally

• It compresses vertically

• It compresses horizontally

• It stretches vertically

How does the graph of f(x) change when it is transformed to f(1/2x)?

• It compresses horizontally

• It stretches horizontally

• It compresses vertically

• It stretches vertically