Understanding the Quadratic Parent Function

This video tutorial covers the quadratic parent function, explaining its equation, graph, and table representation. It discusses the function's vertex, symmetry, domain, and range. The video guides viewers on graphing the function using a calculator and analyzing its properties. It also addresses common misconceptions and provides exercises to reinforce understanding.

What is the main objective of learning about the quadratic parent function?

• To learn about its applications in physics

• To describe it in equation, graph, and table form

• To memorize its formula

• To understand its historical significance

Which part of the equation y = x^2 makes it a quadratic function?

• The x to the second power

• The linear term

• The constant term

• The coefficient of x

What is the vertex of the quadratic parent function's graph?

• (2, 2)

• (-1, -1)

• (0, 0)

• (1, 1)

What is the axis of symmetry for the quadratic parent function?

• x = 1

• y = 0

• x = 0

• y = 1

In the table of values for the quadratic parent function, what is the y-value when x = 3?

• 9

• 6

• 3

• 12

Which of the following is an incorrect description of the quadratic parent function?

• Its vertex, x-intercept, and y-intercept are all the same

• It is symmetric about the x-axis

• Its vertex is at the origin

• It is symmetric about the y-axis

What is the domain of the quadratic parent function?

• All real numbers

• All positive numbers

• All negative numbers

• Numbers between -3 and 3

What is the range of the quadratic parent function?

• All numbers greater than 3

• All real numbers

• Numbers between 0 and 6

• All non-negative numbers