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  • 24-11-2016
  • Mathematics
contestada

Write the quadratic function in vertex form.

y = x2 - 14x + 53

A. y = (x - 7)2 - 4

B. y = (x + 7)2 - 4

C. y = (x - 7)2 + 4

D. y = (x + 7)2 + 4

Respuesta :

apologiabiology
apologiabiology apologiabiology
  • 24-11-2016
complete the square
isolate x terms
y=(x^2-14x)+53
take 1/2 of -14 and square it ((-7)^2=49
add plus and minus of that inside the parntehasees

y=(x^2-14x+49-49)+53
factor perfect suqrae
y=((x-7)^2-49)+53
get rid of parnthasees
y=(x-7)^2-49+53
y=(x-7)^2+4

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