quadratic equations and functions

Quadratic Basics

100

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

2

200

What is the general form of a quadratic equation?

ax2+bx+c=0

300

What is the name of the U-shaped curve formed by a quadratic function?

Parabola

Solving Quadratics

100

What method can you use to solve x2−9=0 easily?

Factoring

200

What is the quadratic formula?

x=2a−b±b2−4ac

300

What does it mean when the discriminant is negative?

The equation has no real solutions (only complex solutions).

Quadratic Graphs

100

if a>0a>0 in a quadratic function, which way does the parabola open?

Upward

200

How do you find the axis of symmetry from the standard form equation?

x=−2ab

300

What is the vertex of y=2(x−4)2+5

(4,5).