1. Solving Quadratic Equations
Components of Quadratic Functions
Medina

2. Graph of a Quadratic Function
The quadratic equation must be in Standard Form
ax²+ bx + c = 0
Re-write the related quadratic function
y = ax²+ bx + c
When the function is graphed it makes a parabola
Minimum
Maximum
Open down
Open up
The solutions or roots of quadratic equations are the x-intercepts of the quadratic function.

3. Graph of a Quadratic Function
Identify component of a quadratic function
y = x² + 2x -3
( -1 , -4 )
Vertex
(-3 , 0 )
(1 , 0 )
X-intercept(s)
( 0 , -3)
Y-intercept
Y-Minimum =-4
Y-minimum or maximum
Axis of symmetry
x = -1

4. Graph of a Quadratic Function
Identify component of a quadratic function
y = -x² + 4x -3
( 2 , 1)
Vertex
( 3 , 0 )
( 1 ,0 )
X-intercept(s)
( 0 , -3 )
Y-intercept
Y-Maximum =1
Y-minimum or maximum
Axis of symmetry
x = 2