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
Sergio [31]
3 years ago
14

Write p(x) = 21 + 24x + 6x2 in vertex form.

Mathematics
1 answer:
Helen [10]3 years ago
8 0
To do this, complete the square:

p(x) = 21 + 24x + 6x2  =>  <span>p(x) = 6x2 + 24x + 21

Rewrite the first 2 terms as


                                                   6(x^2 + 4x)

then you have </span><span>p(x) =  6(x2 + 4x                           ) + 21
                            
Now complete the square of x^2 + 4x:

                         p(x) = 6(x^2 + 4x + 4 - 4)            + 21
                                 = 6(x+2)^2 - 24 + 21

                          p(x)  = 6(x+2)^2 - 3        this is in vertex form now.

We can read off the coordinates of the vertex from this:  (-2, -3)</span>
You might be interested in
What two numbers can you add to get 24 and multiply to get 45
brilliants [131]
Is it 22.5 b/c 22.5 *2 = 45 and 22.5 +22.5= 45. or do u mean both numbers have to be the same
6 0
3 years ago
Anna found the difference between thirteen and the product of four and a number. Which expression represents this phrase, and wh
liraira [26]

Answer:

C

Step-by-step explanation:

8 0
2 years ago
Read 2 more answers
Is this a function or not a function? Explain why.
Ivenika [448]

Answer:

this is not a function

Step-by-step explanation:

the bottom numbers need to connect

3 0
3 years ago
Read 2 more answers
Which equation is satisfied by all of the plotted points?
Black_prince [1.1K]
I think the correct answer from the choices listed above is option D. The equation that would satisfy all of the points plotted above would be y=-2x. From the plot, we can see that the y-intercept is equal to zero and by using two points we can calculate the slope to be equal to -2. Giving an equation which is y=-2x. 
6 0
3 years ago
Read 2 more answers
Can you please help me I pay you £50
Ivahew [28]
(4,-2) (6,-2) (4,1) are co ordinates for the triangle after the movement
7 0
1 year ago
Other questions:
  • Covering the brake can cut Reaction Time by what percent
    9·1 answer
  • Which of the following are NOT sufficient to prove that a quadrilateral is a parallelogram? I. Two pairs of opposite angles cong
    8·1 answer
  • Todays temperature is supposed yo be 5.c warmer than yesterday.if yesterday’s temperature was -10.c what is today’s temperature
    14·2 answers
  • The measure of an angle is 79 what is the measure of its complementary angle
    8·1 answer
  • Find the radius of a sphere with a volume of 26, 2440 cubic inches
    6·1 answer
  • Is my answer right ?
    9·1 answer
  • How to solve 2.13x2.6
    9·1 answer
  • WILL GIVE BRAINLIEST graph y=-2 using a table (show your work pls)
    12·1 answer
  • Find the distance travelled by Rubina if she takes 4 rounds of rectangular park whose length and breadth is 45m and 30m
    14·1 answer
  • La la la la ah boom aye boom boom boom ha yalllllllllllllllllllll
    9·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!