What is a quadratic equation and its part

The video tutorial begins with a review of linear equations, highlighting their forms and graphical representation as lines. It then introduces quadratic equations, explaining their standard form Y = X^2 + BX + C, where A, B, and C are real numbers and A cannot be zero. The tutorial provides examples of quadratic equations and emphasizes the importance of the squared term. It further breaks down the components of quadratic equations into quadratic, linear, and constant terms, explaining their significance and how they contribute to the equation's structure.

Which of the following is a standard form of a linear equation?

• y = ax^2 + bx + c

• y = mx + b

• y = ax^3 + bx^2 + c

• y = ax + b^2

What is the highest degree of the variable in a quadratic equation?

• 2

• 0

• 3

• 1

Which of the following is an example of a quadratic equation?

• y = x^3 + 2x + 1

• y = x^2 + 5x + 1

• y = 2x + 3

• y = 3x + 2

In a quadratic equation, what is the term for the part that includes the squared variable?

• Exponential term

• Quadratic term

• Constant term

• Linear term

What is the role of the constant term in a quadratic equation?

• It is the coefficient of the squared term.

• It is the coefficient of the linear term.

• It is the y-intercept of the graph.

• It determines the slope of the line.