Transformations of Parent Functions: An Introductory Exploration

The video tutorial covers transformations of parent functions, including linear, absolute value, quadratic, cubic, and square root functions. It explains how to identify and graph these functions, discusses their domain and range, and introduces key points for each function. The tutorial also provides general rules for applying transformations to these functions.

Which of the following is NOT one of the five parent functions discussed?

• Exponential

• Linear

• Cubic

• Quadratic

What is the parent function of a linear function?

• y = √x

• y = x

• y = |x|

• y = x^2

Which of the following points is NOT a critical point for the linear function y = x?

• (2, 3)

• (1, 1)

• (0, 0)

• (-1, -1)

What shape does the graph of the absolute value function make?

• U

• V

• Line

• Parabola

What is the domain of the absolute value function?

• x ≥ 0

• x ≤ 0

• x ≠ 0

• All real numbers

Which function has a U-shaped graph?

• Cubic

• Quadratic

• Absolute Value

• Linear

What is the y-value when x = 2 for the quadratic function y = x^2?

• 4

• 2

• 6

• 8

Which function is represented by the equation y = x^3?

• Square Root

• Quadratic

• Cubic

• Linear

What is the domain of the square root function?

• x ≥ 0

• x ≤ 0

• All real numbers

• x ≠ 0

What happens to the graph of a function if a positive number is added outside the parentheses?

• It shifts down

• It shifts left

• It shifts right

• It shifts up