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Answers ( )
Answer:
vertex = ( –
,
)
Step-by-step explanation:
Given a parabola in standard form
y = ax² + bx + c ( a ≠ 0 )
Then the x- coordinate of the vertex is
Given
y = – 3(x – 1)(x + 4) ← expand the factors using FOIL
= – 3(x² + 3x – 4) ← distribute parenthesis by – 3
= – 3x² – 9x + 12 ← in standard form
with a = – 3 and b = – 9 , thus
Substitute this value into the equation for corresponding value of y
y = – 3( –
– 1)( –
+ 4)
= – 3 × –
× 
= – 3 × –
=
Thus
vertex = ( –
,
)