Find the coordinate of the vertex of the following parabola algebraically. y=x^2+14x+41

Iris Vaughn

Iris Vaughn

Answered question

2022-10-21

Find the coordinate of the vertex of the following parabola algebraically.
y = x 2 + 14 x + 41

Answer & Explanation

ipa1rafd

ipa1rafd

Beginner2022-10-22Added 11 answers

y = x 2 + 14 x + 41 = x 2 + 14 x + 49 8 = ( x + 7 ) 2 8
H = b 2 a = 14 2 1 = 7
k = ( 7 ) 2 + 14 ( 7 ) + 41 = 8
Hence the vertex of the parabola will be (-7,-8)

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