Solving Quadratic Equations Components of Quadratic Functions Medina

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

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

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