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 present value of $25,000 to be received in 15 years at an (a) 6.2% interest rate and, (b) 9.6% interest rate? Explain why the present value is lower
Do you like to life in the countryside? Why ?​
The negative effect humans have on the stability of the environment is mostly directly linked to an increase in
A teacher is selecting students to be team captains for a class game. Each student in the class has their name on a Popsicle stick. The teacher selects three Po
find ''m'' and ''c'' of 3-2x+y=0 by comparing with y=mx+c
Find out the chemical names and formula e for the following common house hold substances - a) common salt b) baking soda c) washing soda d.) vinegar ​
What would the equation, slope, and y-intercept be for this?
look at the image for the question
Change The Following To Imperative Sentence. man is the maker of his own fortune (imperative)
What about play soccer at the weekend? A. what B. play C. at D. the weekend