Complete the square to rewrite y = x^2 - 6x + 14 in vertex form. Then state whether the vertex is a maximum or minimum and give its coordinates.

Question

Mathematics

Frederick Goodman

4 August, 15:23

Complete the square to rewrite y = x^2 - 6x + 14 in vertex form. Then state whether the vertex is a maximum or minimum and give its coordinates.

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Answers (1)

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Ace Strickland · Answer 1

Y=x²-6x+14

y = (x²-2*3x + 3²-3²) + 14

y = (x²-2*3x+3²) + 14-9

y = (x-3) ²+5

a=1

p=3

q=5

a>0 ⇒ vertex is minimum

V (p, q) ⇒ V (3; 5)

Regards M. Y.