How do you find the axis of symmetry and vertex in standard form

The video tutorial explains the relationship between quadratic equations and functions, focusing on how to find the axis of symmetry and the vertex. It introduces the formula for the axis of symmetry and demonstrates how to calculate the vertex using function notation. The tutorial emphasizes the consistency of input and output values in both equations and functions, providing a clear method for solving quadratic equations in standard form.

What is the main difference between a quadratic equation and a function in terms of output values?

• Functions do not have any output values.

• Quadratic equations have multiple outputs for each input.

• In quadratic equations, the output is Y, while in functions, it is a function of the input.

• Functions have outputs that are not related to inputs.

Why is finding the axis of symmetry useful in quadratic equations?

• It eliminates the need for solving the equation.

• It allows for easier graphing of the equation.

• It simplifies the process of factoring complex numbers.

• It helps in converting the equation to linear form.

Which formula is used to find the axis of symmetry in a quadratic equation?

• x = 2a / b

• x = a / 2b

• x = b / 2a

• x = -b / 2a

What is the first step in finding the vertex of a quadratic function?

• Calculate the Y-intercept.

• Convert the function to standard form.

• Find the axis of symmetry.

• Determine the slope of the function.

How do you find the Y value of the vertex once you have the X value?

• By finding the derivative of the function.

• By graphing the function.

• By using the quadratic formula.

• By substituting the X value into the function.