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

Your filling identical fruit bowls using 36 apples and 48 oranges. What is the greatest number of bowls that you can fill using all of the fruit?
Read the sentence. The college cafeteria, which is free for all full-time faculty, is a popular and safe environment for students to study. Which part of the se
What is the missing value
Circle tens to make 1 hundred. Write the number in different ways?
70 dm + 3 m = how many m?
What is the slope of the line on the graph? Enter your answer in the box.
Draw or write to explain why 1 hundreds 4 tens and 14 tens name amoun0t.
islamic law is also known as sharia law. hajj law. mecca law. muslim law.
$2,500 is invested in an account earning 8.4% interest compounded annually. How many years did it take to reach $4,000? A. 3 years B. 4 years C. 5 years D. 6 ye
Solve: log5x3 - logx2 = 2