how do I solve this using a t chart ?

y = -5(x+7)(x+2)

y = -5(x^2 +9x +14)

y = -5x^2 -45x -70

a = -5 b = -45 c = -70

for x we use the formula of vertex

x = -b/2a then

x = 45/-10 or -9/2

now put the value of x in original equation , we get

y = -5(-9/2) -45(-9/2) -70

y = 45/2 + 405/2 -70

y = (45 + 405 - 140)/2

now y = 155

So HENCE vertex is

[ x , y ] = [ -9/2 , 155 ]

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