What are roots, zeros and x intercepts and how can we tell the difference

The video tutorial explains the concepts of roots, zeros, and X intercepts in quadratic equations and functions. It highlights that roots and zeros are essentially the same, representing the values of X when the output is zero. The tutorial also discusses the differences between quadratic equations and functions, and how to find X intercepts graphically and algebraically using methods like the quadratic formula and completing the square.

What is the primary focus of the video series mentioned in the first section?

• Finding the maximum value of a function

• Finding the roots of quadratic equations

• Solving cubic equations

• Graphing linear equations

In the context of the video, what is the main difference between a quadratic equation and a quadratic function?

• A quadratic equation has no variables

• A quadratic function must pass the function test

• A quadratic equation is always linear

• A quadratic function has no graph

What does the Y axis represent in a quadratic function?

• The F of X axis

• The Z axis

• The X intercept

• The input value

Which method is NOT mentioned as a way to solve quadratic equations?

• Quadratic formula

• Matrix inversion

• Completing the square

• Graphical method

What is the common goal when finding X intercepts, zeros, or roots?

• Minimizing the input value

• Finding the slope of the tangent

• Finding when the output value is zero

• Maximizing the function value