The equation of a parabola is given. y=−14x2+4x−19 what are the coordinates of the vertex of the parabola? enter your answer in the boxes.

vertex (  , ).

Step-by-step explanation:

Given : The equation of a parabola is given.

       y=−14x²+4x−19

To find  : What are the coordinates of the vertex of the parabola.

Solution : We have given that

y = −14x²+4x−19

we will be "completing the square" .

Factor out -14 to make leading coefficient 1

y = -14 ()

Add and subtract

y = -14 ( .

Complete the square

y = -14 ( .

y = -14 (

Standard form of parabola vertex form y  = a(x - h)²+ k,

Where, ( h, k)  are vertex

On comparing a = -14 , h= , k =  

Therefore, vertex (  , ).

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i hope that this ! : d

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