anna343445 anna343445
  • 12-05-2022
  • Mathematics
contestada

Change the function f(x) = 2x ^ 2 + 8x + 5 into vertex form.

Change the function fx 2x 2 8x 5 into vertex form class=

Respuesta :

goddessboi goddessboi
  • 12-05-2022

Answer:

[tex]f(x)=2(x+4)^2-27[/tex]

Step-by-step explanation:

Complete the square

[tex]f(x)=2x^2+8x+5\\f(x)=2(x^2+8x+\frac{5}{2})\\f(x)+2(\frac{27}{2})=2(x^2+8x+\frac{5}{2}+\frac{27}{2})\\f(x)+27=2(x^2+8x+16)\\f(x)+27=2(x+4)^2\\f(x)=2(x+4)^2-27[/tex]

This tells us that the vertex of the parabola is [tex](-4,-27)[/tex].

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