Exploring the Transformation of Functions

The video tutorial covers transformations of various functions, including parabolas, square roots, and absolute values. It explains horizontal and vertical shifts, flipping functions, and provides examples for each type of transformation. The tutorial concludes with a summary of key concepts and encourages students to ask questions if needed.

What happens to a parabola when it is moved 4 units to the right?

• It shifts 4 units to the left.

• It remains unchanged.

• It shifts 4 units to the right.

• It flips upside down.

How do you represent a vertical shift of 5 units up in a function's equation?

• +5 outside the parentheses

• -5 outside the parentheses

• +5 inside the parentheses

• No change is needed.

What is the effect of placing a negative sign in front of a function?

• No effect

• Moves the function upwards

• Flips the function upside down

• Shifts the function to the right

How is a square root function affected by adding a negative sign in front of it?

• It moves upwards

• It flips upside down

• It shifts to the left

• It shifts to the right

What does adding a '+5' inside the parentheses of a function's equation indicate?

• Shift 5 units down

• Shift 5 units up

• Shift 5 units to the left

• Shift 5 units to the right

In the context of absolute value transformations, what does 'x + 4' inside the function represent?

• Shift 4 units up

• Shift 4 units to the left

• Shift 4 units to the right

• Shift 4 units down

For a square root function, what does 'x - 3' inside the square root symbol signify?

• Shift 3 units up

• Shift 3 units to the right

• Shift 3 units down

• Shift 3 units to the left

What does a '-2' at the end of a function's equation indicate?

• Shift 2 units down

• Shift 2 units up

• Shift 2 units to the left

• Shift 2 units to the right

In an absolute value function, what does the transformation 'x + 2' inside and '-2' outside signify?

• Shift 2 units to the right and 2 units down

• Shift 2 units to the right and 2 units up

• Shift 2 units to the left and 2 units down

• Shift 2 units to the left and 2 units up

What does a '-3' inside the parentheses and a '-5' outside in a function's equation represent?

• Shift 3 units to the right and 5 units down

• Shift 3 units to the left and 5 units up

• Shift 3 units to the left and 5 units down

• Shift 3 units to the right and 5 units up