1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
Amanda [17]
2 years ago
9

Find the axis of symmetry of the graph of the function. (5 points) f(x) = 3x2 + 12x + 9

Mathematics
1 answer:
Kryger [21]2 years ago
3 0

Considering the definition of axis of symmetry, the axis of symmetry of the graph of the function f(x) = 3x²+ 12x+ 9 is x=-2.

<h3>Axis of symmetry</h3>

An axis of symmetry is an imaginary reference line that, when dividing any shape into two parts, its opposite points are equidistant from each other, that is, they are symmetrical.

In other words, the axis of symmetry is a vertical line that divides the parabola into two congruent halves.

The axis of symmetry is the line perpendicular to the "x" axis that contains the vertex of the function, that is, it always passes through the vertex of the parabola. So the x-coordinate of the vertex is the equation of the axis of symmetry.

That is, in a quadratic function that has the form:

f(x)= ax² + bx + c

the axis of symmetry is a vertical line and it is defined as x=\frac{-b}{2a}.

<h3>Axis of symmetry of f(x) = 3x² + 12x + 9</h3>

In this case, you know:

  • a= 3
  • b=12
  • c=9

Replacing in the definition of axis of symmetry:

x=\frac{-12}{2x3}

Solving:

x=\frac{-12}{6}

<u><em>x= -2</em></u>

Finally, the axis of symmetry of the graph of the function f(x) = 3x²+ 12x+ 9 is x=-2.

Learn more about axis of symmetry:

brainly.com/question/24737967

brainly.com/question/10473291

#SPJ1

You might be interested in
Aline etlea, deux coiffeuses contactent le même. fournisseur . Aline commande 10 lots de champoing à 15,60 l,unite et paie la me
KIM [24]

Answer:

on my screen it sayes its 50938

Step-by-step explanation:

6 0
2 years ago
− 1 / 3 − 1 2 / 3<br><br><br><br><br> pzzzzzzzzzzzzzzz
mario62 [17]

Answer:

- 2

Step-by-step explanation:

-1/3 - 1 2/3 =

- 1/3 - 5/3 =

-6/3 = -2

8 0
2 years ago
Read 2 more answers
=2x^2 − 8 + 6 what is the vertex
Marta_Voda [28]

Answer:

(0,-2)

Step-by-step explanation:

6 0
2 years ago
g The weight of a certain type of apple is normally distributed with a mean of 10.56 ounces and standard deviation of 0.9 ounces
jeyben [28]

Answer:

First Quartile Q1 = 9.9525

Step-by-step explanation:

For a standard normal distribution,

First quartile Q1 = μ - 0.675 σ

From the question mean μ = 10.56

Standard deviation σ = 0.9

Plugging these values into the first quartile equation, we have;

Q1 = 10.56 -0.675(0.9)

Q1 = 10.56 - 0.6075

Q1 = 9.9525

6 0
3 years ago
Will give brainiest to the right answer
Scilla [17]

Answer:

I think it would be B

Step-by-step explanation:

3 0
3 years ago
Read 2 more answers
Other questions:
  • A cleaning company charges a fee of &amp;65 in addition to $10.50 per hour of cleaning, let x represent the number of hours clea
    12·1 answer
  • Maria goes to Applebee's with her 2 friends. They each order an entrée, which costs $15 each, and a soda, which costs $3.50 each
    9·1 answer
  • A store asked 250 of its customers whether or not they were satisfied with the service. The responses were also classified accor
    11·1 answer
  • Help needed plz help
    8·2 answers
  • write a division equation to represent the repeated subtraction 32 take away 8 is 24 24 take away 8 is16 16 take away 8 is 8/8 t
    7·1 answer
  • Solve this problem for the equation for y, 2x + 6 = -y
    15·1 answer
  • What’s the answer to 7^3x=54
    14·1 answer
  • please factor completely !Thank yoy
    13·1 answer
  • Here's the questions I need help with<br><br>​
    7·2 answers
  • 2)
    10·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!