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
nexus9112 [7]
4 years ago
12

F(x)=x^2-8x+12 in vertex form

Mathematics
1 answer:
Zina [86]4 years ago
6 0

Answer:

vertex form f(x) =  (x - 4)^2  - 4

Step-by-step explanation:

f(x)=x^2-8x+12 in vertex form

look at   -8x

take -8  divide it by 2  and square result   get   16

f(x) = x^2   - 8x  + 16  -  16  + 12

f(x) =  (x - 4)^2  - 16  + 12

f(x) =  (x - 4)^2  - 4

vertex form f(x) =  (x - 4)^2  - 4

You might be interested in
How do you do this!?!
Andrei [34K]

11x + y = 4

<u>x  |   y</u>

0  |   4

\frac{4}{11} |   0

<em>plot the y-intercept (0, 4) and the x-intercept (\frac{4}{11}, 0) </em>

or

11x + y = 4

<u>-11x      </u>  <u>-11x </u>

      y = -11x + 4      ⇒ m = \frac{-11}{1}, b = 4

<em>plot at point the y-intercept "b = 4" (0,4).  plot the next point using the slope "m = \frac{-11}{1}" from point (0,4), count down 11 and to the right 1 (1,-7).</em>

Using intercepts would not provide an accurate graph because you have to estimte where (\frac{4}{11}, 0) is, so it is best to use slope-intercept form.

***********************************************************************************************************

x + y = -2

<u>x  |   y</u>

0  |  -2

-2 |   0

<em>plot the y-intercept (0, -2) and the x-intercept (-2, 0)</em>

or

x + y = -2

<u>-x      </u>  <u> -x </u>

     y = -x - 2     ⇒ m = \frac{-1}{1}, b = -2

<em>plot at point the y-intercept "b = -2" (0,-2).  plot the next point using the slope "m = \frac{-1}{1}" from point (0,-2), count down 1 and to the right 1 (1,-3).</em>

Both methods are easy to use so either can be used.

**********************************************************************************************************

x - 2y = 18

<u>x  |   y</u>

0  |  -9

18 |   0

<em>plot the y-intercept (0, -9) and the x-intercept (18, 0)</em>

or

x - 2y = 18

<u>-x        </u>   <u> -x </u>

   -2y = -x + 18

    \frac{-2y}{-2} = \frac{-1}{-2}x + \frac{18}{-9}

       y = \frac{1}{2}x - 9

<em>plot at point the y-intercept "b = -9" (0,-9).  plot the next point using the slope "m = \frac{1}{2}" from point (0,-9), count up 1 and to the right 2 (2,-8).</em>

Using intercepts will make a large graph since you have to plot (18,0) so it is best to use the slope-intercept form.



6 0
3 years ago
Candy has to paint a fence if she can paint 2/3 of each section in 1/2 and hour and there are 9 sections how long will it take h
aev [14]
Do you mean half an hour because if she can paint 2/3 of each section in half an hour, it would take her 3 hours to paint all 9 sections. I hope this is correct.
5 0
4 years ago
What is the area of the following circle if the diameter is 2?
gulaghasi [49]

Answer:

Area of a circle=πr²

radius is half of the diameter

1/2×2=1

π1²

22/7×1

3.1415926535897932

~3.14

7 0
3 years ago
What is the length of BC in the right triangle below?
Neko [114]

Answer and Step-by-step explanation:

<u>How to solve:</u>

Use the Pythagorean Theorem to find the length of side <em>BC</em>.

<u>Pythagorean Theorem Formula:</u>

<u />A^2+B^2=C^2<u />

<u />

Side AB will be A, side AC will be B, and side BC will be C.

<u>Plug in values.</u>

8^2+15^2 = C^2\\\\\\64 + 225 = C^2\\\\289 = C^2\\Square.root.both.sides.\\\\\sqrt{289} = C\\17 = C\\\\\\

<u>This means the answer is A. 17.</u>

<u></u>

<u>I hope this helps!</u>

<em><u>#teamtrees #PAW (Plant And Water)</u></em>

5 0
3 years ago
Which functions are the same as their inverse functions
9966 [12]

Answer:

what functions?

Step-by-step explanation:

4 0
4 years ago
Other questions:
  • he radius of a circular oil slick expands at a rate of 8 m/min. (a) How fast is the area of the oil slick increasing when the ra
    15·1 answer
  • Find the average monthly expenditure: January, $882; February, $924; March $943
    7·1 answer
  • I need to know 37-45 and show work
    6·2 answers
  • How many times does 4 go in to 405
    6·2 answers
  • Which equation represents the hyperbola (y -2)^2/4 - (x-2)^2/9=1<br> in general form?
    8·1 answer
  • Drag the tiles to the correct boxes to complete the pairs. Match each expression to the correct verbal description. 8 added to t
    9·1 answer
  • 3% of what number is 3
    13·1 answer
  • You buy 11 bagels with a $20 bill. How much change do you receive and how many more could you buy, using the $20 bill?
    7·1 answer
  • Solving by Elimination
    11·1 answer
  • (2) Answer.. A frog is sitting at the bottom of a well 31 m deep. During the day when he climbs the wall but is only able to cli
    10·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!