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Help me please i don’t understand

Help me please i don’t understand-example-1
User Lorenzog
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1 Answer

6 votes

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

User Makis
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