Factored Form

1/3

y= (x-r)(x-s)

x-intercepts: Example,

y= (x-5)(x+3)

(5,0) (-3,0)

The numbers in the equation end up being the oposite value when you sub in zero!

Axis of Symmetry:

(a+b)/2

(5+(-3))/2

3.5=A.O.S

Now we have enough info to find the optimal value! We just need to plug in what we know to the first equation.

y= (3.5+5)(3.5-3)

y=(8.5)(0.5)

y=(4.25)

There we go! Now we have enough info to draw a least a rough sketch of the graoh sice we have the x and y-intercepts, A.O.S and optimal value.

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