2-6 the quadratic formula

What is the axis of symmetry

-b ___ 2a

Summary of solving quadratic equations: When to use COMPLETING THE SQUARE

A= 1 and b is an even number

What is the discriminant

B squared -4ac

Summary of solving quadratic equations: when to use FACTORING

C=0 or the expression is easily factorable

When b squared -4ac is greater than 0

two distinct real solutions

When b squared -4ac is less than 0

Two distinct non real complex solutions

Summary of solving quadratic equations: When to use GRAPHING

When only the approximate solutions or the number of real solutions is needed

The symmetry of a quadratic function is evident in the

Next to last step

Summary of solving quadratic equations: When to use the QUADRATIC FORMULA

Numbers are large or complicated, and the expression does not factor easily

When b squared -4ac = 0

One distinct real solution

By completing the square on the standard form of a quadratic equation, you can determine the

Quadratic formula

You can use the quadratic formula to solve any quadratic equation that is written in standard form, including equations with

Real solutions of complex solution

What does the quadratic formula allow you to do

Solve a quadratic equation in standard form

The number of real solutions for the equation can be changed by changing the value of

The constant c

The discriminate of a quadratic formula can be used to determine

The number of real roots of a quadratic equation

Summary of solving quadratic equations: When to use SQUARE ROOTS

The variable side of the equation is a perfect square