alannahmarshall8 alannahmarshall8
  • 04-03-2021
  • Advanced Placement (AP)
contestada

Find the axis of symmetry and the vertex of the
graph if y = 3x2 + 12x + 8

Respuesta :

garynogrion garynogrion
  • 04-03-2021

Answer:

[tex]y=3x^{2} +12x+8\\y=3(x^{2} +4x+\frac{8}{3} )\\y=3[(x^{2} +4x+4)+\frac{8}{3}-4 ]\\y=3[(x+2)^{2} -\frac{4}{3}]\\y=3(x+2)^{2}-4\\So\ the\ vertex\ will\ be\ (-2,-4)\ and\ the\ axis\ of\ symmetry\ will\ be\ x=-2\\Vertex:\ (h,k)\ in\ y=a(x-h)^{2}+k\\Axis\ of\ symmetry:\ x=h[/tex]

Answer Link

Otras preguntas

What is the solution to the system of equations? y = 1.5x – 4 y = –x
When was jimmy carter president of the united states?
What number multiplied itself for x equals 256 need answer?
The County Unit System resulted in Georgia politicians doing most of their campaigning
solve this system : y(y-36)=-66
What is 95 percent of 7500?
he table shows the percentages of hydrocarbons that are found in a sample of crude oil. Hydrocarbons Percentage Paraffins 30 Naphthenes 49 Aromatics 15 Asphalti
Let C be the curve of intersection of the parabolic cylinder x^2 = 2y, and the surface 3z = xy. Find the exact length of C from the origin to the point (4, 8, 3
in an appropriate environment, guppies reproduce arian astounding rate. A population of breeding guppies quadruples every month. how many guppies will there be
Help! x=2/3+4•9 PLEASE HELP