Equation given transformations

The video tutorial covers various function transformations using a general function H of X. It explains vertical and horizontal shifts, vertical stretch, reflection, and compression. The tutorial emphasizes understanding the impact of these transformations on any function, regardless of its specific form. It also highlights the importance of distinguishing between inside and outside transformations and provides examples to illustrate these concepts.

What is the main idea behind using a general function H(x) for transformations?

• To simplify the process of applying transformations to any function

• To focus only on polynomial functions

• To avoid using trigonometric functions

• To make the function more complex

How do you apply a vertical shift of up one unit to a function H(x)?

• Add 1 inside the function

• Subtract 1 outside the function

• Subtract 1 inside the function

• Add 1 outside the function

What is the effect of multiplying a function by a negative number?

• It shifts the function up

• It reflects the function about the x-axis

• It stretches the function vertically

• It compresses the function horizontally

How is a horizontal shift to the left represented in a function?

• By adding a value inside the function

• By adding a value outside the function

• By subtracting a value outside the function

• By subtracting a value inside the function

What is the importance of writing transformations in factored form?

• To make the function more complex

• To ensure the transformations are applied correctly

• To avoid using negative numbers

• To simplify the function

How do you represent a reflection about the y-axis in a function?

• By adding a negative sign inside the function

• By multiplying the function by 2

• By dividing the function by 2

• By adding a negative sign outside the function

What happens when you apply a horizontal compression and a shift together?

• The function is only shifted

• The function remains unchanged

• Both transformations are applied, but the shift is affected by the compression

• The function is only compressed