Answer:
Explanation:
Quadratic form:
ax²+bx+c
>We are going to work backwards from getting an equation and then solving for the x's.
>From a graph, you are given your x's.
>Put those x's (x-intercepts) into factored form.
Red:
x = -7 >add 7 to both sides
x+7 = 0
x = -5 >add 5 to both sides
x+5=0
x+5 and x+7 are your factors
y= (x+5)(x+7) >FOIL
y=x²+7x+5x+35
y=x²+12x+35 for RED
Blue: follow same pattern as RED
x= -4 and x=-2
(x+4)=0 (x+2)=0
-(x+4)(x+2) There is a negative in front because this one is facing
down
-(x²+6x+8) FOILED and simplified, now distribut negative
y= -x²-6x-8 BLUE
Green:
x=-1 x=1
y=(x+1)(x-1) FOIL and simplify
y=x²-1 GREEN
Orange:
x= 2 x=4
-(x-2)(x-4)
-(x²-6x+8)
y= -x²+6x-8 ORANGE
Purple:
x=5 x=7
(x-5)(x-7)
y=x²-12x+35 PURPLE