Transformations and Function Notation

The video tutorial covers translating graphs using function notation. It begins with an introduction to function translation, explaining how to interpret function notation as graph transformations. The tutorial then delves into shrinking and translating functions, altering X and Y values, and provides graphical representations of these translations. Advanced transformations, including flips and shifts, are also discussed, providing a comprehensive understanding of function transformations.

What is the function notation for a function previously known as y?

• f(x)

• g(x)

• h(x)

• j(x)

When translating a graph, what does the function f(x) represent?

• The x-values

• The y-values

• The slope

• The intercept

What happens to the graph when you multiply the x-values by 4?

• It stretches

• It shrinks

• It shifts left

• It shifts right

If 4x equals -8, what is the new x-value?

• 4

• -2

• -4

• 2

What is the new x-value when 4x equals 4?

• 1

• 0

• 2

• 3

How do you alter the x-values in the function?

• Divide by 2

• Subtract 2

• Add 2

• Multiply by 2

What is the new x-value when x - 2 equals -8?

• -4

• -6

• 0

• 2

What is the new y-value when 12y + 4 equals 4?

• 3

• 2

• 1

• 0

What is the new point when x - 2 equals 0?

• (2, 2)

• (0, 0)

• (3, 3)

• (1, 1)

What is the new point when x - 2 equals 4?

• (2, 5)

• (4, 5)

• (6, 5)

• (8, 5)