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
ASHA 777 [7]
3 years ago
9

What is the equation of the axis of symmetry of the graph of y + 3x – 6 = –3(x – 2)2 + 4?

Mathematics
2 answers:
son4ous [18]3 years ago
8 0
 <span>What is the equation of the axis of symmetry of the graph of y + 3x – 6 = –3(x – 2)2 + 4?


</span>A. x=3/2
ella [17]3 years ago
3 0
<h2>Answer:</h2>

Option: A is the correct answer.

              The axis of symmetry is:

                      A.    x=3/2      

<h2>Step-by-step explanation:</h2>

We are given a graph as:

y+3x-6=-3(x-2)^2+4

and

y=-3(x-2)^2+4+6-3x

and

y=-3[(x-2)^2+x]+10\\\\i.e.\\\\y=-3[x^2+4-4x+x]+10\\\\i.e.\\\\y=-3[x^2-3x+4]+10

This equation could also be written in the form:

y=-3[x^2-3x+4-\dfrac{9}{4}+\dfrac{9}{4}]+10\\\\i.e.\\\\y=-3[(x-\dfrac{3}{2})^2+4-\dfrac{9}{4}]+10\\\\i.e.\\\\y=-3[(x-\dfrac{3}{2})^2+\dfrac{7}{4}]+10\\\\i.e.\\\\y=-3(x-\dfrac{3}{2})^2-3\times \dfrac{7}{4}+10\\\\i.e.\\\\y=-3(x-\dfrac{3}{2})^2+\dfrac{19}{4}

Now, we know that for any general equation of the type:

y=a(x-h)^2+k

The axis of symmetry of the graph of the equation is:

x=h

Here we have:

h=\dfrac{3}{2}

            Hence, the answer is: Option: A

You might be interested in
Solve the following:<br> 2x - 2 = 4x + 6
olchik [2.2K]

Answer:

x = -4

Step-by-step explanation:

<u>Step 1:  Subtract 2x from both sides</u>

2x - 2 - 2x = 4x + 6 - 2x

<em>-2 = 2x + 6</em>

<em />

<u>Step 2:  Subtract 6 from both sides</u>

-2 - 6 = 2x + 6 - 6

<em>-8 = 2x</em>

<em />

<u>Step 3:  Divide both sides by 2</u>

-8 / 2 = 2x / 2

<em>-4 = x</em>

<em />

Answer:  x = -4

5 0
3 years ago
In the following arithmetic number pattern: 5,9,13,17... what is the 100th term?
irakobra [83]
Answer:891

Explanation:
1st term+common difference(desired term-1)

5+4(100-1)
9(100-1)
9•99
891
6 0
3 years ago
Pls help!! look at photo
monitta

Answer:

2 : 1

Explanation:

\sf area \ of \ sector: \dfrac{\theta}{360} \pi r^2

<u>1st sector</u>:

\sf \rightarrow area: \dfrac{80}{360} \pi (8)^2  = 44.68 \ cm^2

<u>2nd sector</u>:

\sf \rightarrow area: \dfrac{160}{360} \pi (4)^2  = 22.34 \ cm^2

Ratio of 1st sector to 2nd sector:

44.68 : 22.34

2 : 1

7 0
2 years ago
Read 2 more answers
Evaluate 6 + 30 divided (4-5) =
ki77a [65]

Answer:

6 + 30 / (4-5) = - 24

Step-by-step explanation:

4-5 goes 1st then you do 6 + 30 .

36 / -1 = -24

3 0
3 years ago
Read 2 more answers
Solve each equation for x.
Yuliya22 [10]
Since it a is a square and they are equal on all 4 sides. x=4
6 0
2 years ago
Other questions:
  • Help me on 4. It is confusing and I can never get these type of answers right :(
    8·1 answer
  • 4(-2d-3)=12, someone please solve this for me asap
    12·1 answer
  • Fraction of ratio 4 : 5
    13·1 answer
  • Y + 3 = -2x2+5<br> are these a quadratic function
    9·1 answer
  • 14. Find the height of a cylinder if the surface area is 408.41 square inches and the radius is 5
    7·1 answer
  • -3 1/2 - 2 1/3 explained
    12·2 answers
  • How do you write 550% as a fraction, mixed number, or whole number in simplest form? submit?
    11·1 answer
  • How much longer is the side of a cube with a surface area of 1,200 square inches than a cube with the surface area of 768 square
    5·1 answer
  • Lol I am having an exam ....no but help
    9·1 answer
  • URGENT!!!! WILL GIVE BRAINLIEST TO FIRST RIGHT ANSWER!!!!!!
    6·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!