1. Solving Quadratic Equations
Components of Quadratic Functions
Medina

2. Graph of a Quadratic Function
The solution(s) or roots of quadratic equations are the x-intercepts of the quadratic function.
y = -x² + 4x -3
( 3 , 0 )
( 1 ,0 )
x = 3 & 1

3. Graph of a Quadratic Function
The solution(s) or roots of quadratic equations are the x-intercepts of the quadratic function.
y = 3x² -18x
( 0 , 0 )
( 6 ,0 )
x = 0 & 6

4. Graph of a Quadratic Function
*Note: If the function only has one x-intercept therefore there is only one solution.
y = x²+10x+25
( 0 , -5 )
x = -5

5. Graph of a Quadratic Function
*Note: If the function only has one x-intercept therefore there is only one solution.
y =-4x²+16x-16
( 0 , 2)
x = 2

6. Graph of a Quadratic Function
*Note: If the function has no x-intercept(s) than there is no real solution not zero because zero means the graph crosses at zero.
y = x²+6x+10
x = No Real Solution