Respuesta :

SageRage

Answer:

[tex](3.4)[/tex]

Step-by-step explanation:

  • Our equation is [tex]f(x)=-2(x-3)^2+4[/tex]
  • Now there are 2 ways you can do this, I'll show you the shortcut
  • If you have an equation like this, just take the value in parenthesis and equate it to zero
  • [tex]x-3=0.x=3[/tex] is the x of the vertex
  • Put this back into the equation
  • [tex]f(x)=-2(x-3)^2+4\\x=3\\f(3)=-2(3-3)^2+4\\f(3)=-2(0)^2+4=4[/tex] this is the y
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