1214tyler1214
1214tyler1214 1214tyler1214
  • 22-02-2021
  • Mathematics
contestada

Which function is equivalent to y=5(x+3)2−8?

y = 5x² + 1

y=5x2+6x−2

y = 5x² + 30x + 37

y = 5x² + 30x + 5

Respuesta :

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babcdefh babcdefh
  • 22-02-2021

Answer:

y = 5x²+30x+37

=============================

1) squaring a binomial

[tex] \boxed{ (a+b) = a^2 + 2ab + b^2 }[/tex]

2) The distributive property

[tex] \boxed{ a(b+c) = ab+ac }[/tex]

============================

1) squaring a binomial

y = 5(x+3)² - 8

y = 5(x²+6x+9)-8

2) Distributive property

y = 5(x²+6x+9)-8

y = 5x²+30x+45-8

3) Finally

y = 5x²+30x+37

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