Exploring Function Transformations: Vertical and Horizontal Changes

What does the term 'translate' mean in mathematical terms?

• To scale

• To slide or shift

• To reflect

• To rotate

If a point (2, 4) is translated 7 units to the left, what are the new coordinates?

• (9, -4)

• (-5, -4)

• (9, 4)

• (-5, 4)

What is a parent function?

• A function that has been shifted

• The most basic form of a function

• A function with multiple variables

• A function that is reflected

How do you represent a shift 3 units to the right in a quadratic function?

• x - 3

• x^2 + 3

• x + 3

• x^2 - 3

What does a plus sign inside parentheses indicate in a function shift?

• Shift to the left

• Shift to the right

• Shift down

• Shift up

How would you write the equation for a function shifted 5 units left from x - 3?

• x - 5

• x + 5

• x + 2

• x - 8

What type of shift does x^2 + 4 represent?

• Horizontal shift left

• Horizontal shift right

• Vertical shift up

• Vertical shift down

If a function is written as x + 6 inside parentheses, what type of shift does it represent?

• Vertical shift up

• Vertical shift down

• Horizontal shift left

• Horizontal shift right

How would you describe the shift for the function |x - 7| + 4?

• Right 7 units, down 4 units

• Left 7 units, up 4 units

• Right 7 units, up 4 units

• Left 7 units, down 4 units

What does a minus sign outside parentheses indicate in a function shift?

• Shift to the left

• Shift down

• Shift to the right

• Shift up