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What is the range for y=-3x^2-12x-17?
PLEASE ANSWER I WILL GIVE OUT FREE MORE POINT AND MARK BRAINIST ONLY IF YOU GOT IT RIGHT THO I WILL CHECK ! PLEASE AND THANK YOU :))))

What is the range for y3x212x17 PLEASE ANSWER I WILL GIVE OUT FREE MORE POINT AND MARK BRAINIST ONLY IF YOU GOT IT RIGHT THO I WILL CHECK PLEASE AND THANK YOU class=

Respuesta :

Answer:

RANGE: y greater than or equal to -5 (b)

Graph the function

Attached

  • Vertex at (-2,-5)

Then

  • y=-(3x²+12x+17)
  • y=-(9x²+36x+51)
  • y=-[(3x)²+2(3x)(6)+51-25+25]
  • y=-[(3x)²+2(3x)(6)+36+25]
  • y=-[(3x+6)²+25]
  • y=-[(3x+6)²+5²]

We know

  • a²+b²=(a-b)²+2ab

Vertex form of parabola

  • a(x-h)²+k

vertex:-

  • (h,k)=(-2,-5)

Range:-

  • y≤-5
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