Master Transformations of different parent functions

The video tutorial covers various transformations of functions, including horizontal, vertical, and reflection transformations. It explains how these transformations affect different parent functions like X^2, X^3, and trigonometric functions. The tutorial provides detailed examples, showing how to apply transformations and understand their effects on graphs. It also discusses complex transformations involving multiple operations, helping students grasp the concepts thoroughly.

Which of the following is an example of a parent function?

• 3X^2 + 2X

• X - 5

• 2X + 3

• X^2

What type of transformation occurs when a value is added outside the function?

• Vertical shift

• Horizontal shift

• Compression

• Reflection

If a function is multiplied by -1 outside, what transformation occurs?

• Horizontal compression

• Reflection over the Y-axis

• Vertical stretch

• Reflection over the X-axis

What happens to a function when a value is subtracted inside the function?

• Shift right

• Shift down

• Shift left

• Shift up

In the function f(x) = |x|, what does multiplying by a negative outside the function do?

• Reflect over the Y-axis

• Vertical stretch

• Reflect over the X-axis

• Horizontal stretch

What is the result of multiplying a function by a value greater than one?

• Horizontal stretch

• Vertical stretch

• Vertical compression

• Reflection

How does adding a value inside the function affect its graph?

• Moves right

• Moves up

• Moves down

• Moves left

What transformation occurs when a function is multiplied by a negative inside?

• Reflection over the Y-axis

• Vertical stretch

• Reflection over the X-axis

• Horizontal compression

In a rational function, what does adding a value outside the fraction do?

• Shift down

• Shift up

• Shift right

• Shift left

What is the effect of multiplying a logarithmic function by a negative inside?

• Reflect over the X-axis

• Reflect over the Y-axis

• Vertical stretch

• Horizontal stretch