Solving Quadratic Equations

Components of Quadratic Functions

Medina 1

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

( 1 ,0 )

( 3 , 0 )

x = 3 & 1

Graph of a Quadratic Function The solution(s) or roots of quadratic equations are the x-intercepts of the quadratic function.

y = 3x² -18x

( 6 ,0 )

( 0 , 0 )

x = 0 & 6

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

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

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