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
Ksivusya [100]
3 years ago
11

Find the coordinates of the vertex of the following parabola algebraically. Write your answer as an (x,y)(x,y) point.

Mathematics
1 answer:
Serga [27]3 years ago
3 0

Answer:

(8,-3)

Step-by-step explanation:

The given parabola is

y =  - 3 {x}^{2}  + 48x  - 195

We factor -3 from the first two terms to get:

y =  - 3( {x}^{2}   - 16x)  - 195

Add and subtract the square of half the coefficient of x

y =  - 3( {x}^{2}   - 16x + 64)   + 3 \times 64- 195

y =  - 3 {(x - 8)}^{2}  + 192 - 195

We simplify to get:

y =  - 3 {(x - 8)}^{2}  - 3

We compare this to y=a(x-h)²+k,

The vertex is (h,k)=(8,-3)

You might be interested in
The summer solstice can occur on any day of the week with each day being equally likely. What is the probability the summer sols
chubhunter [2.5K]
Out of a single week it's 2/7. Out of a month it'd be 8/30 with only 30 days in a month. I hope this helps.
6 0
3 years ago
Read 2 more answers
How has people's actions helped protect endangered animals
viva [34]
   I think we have found them and cared for them I don't think it's right b/c I guessed.
7 0
3 years ago
What is 16 2/3 as a decimal and the percent​
faltersainse [42]

Answer:

DECIMAL: 16.7   PERCENT: 1666.67%

8 0
3 years ago
Read 2 more answers
If ABC is dilated by a scale factor of two with a dilation Center of A, what will be the coordinates of point b
BabaBlast [244]
The answer is (0,6)                                                        

move me up to brainliest

8 0
3 years ago
5x+15 - 2 = 2 - x+9
gavmur [86]

Answer:

-1/3

equation: 5x+13=-x+11

Step-by-step explanation:

1) combine like terms

5x+13=-x+11

5x+x=-13+11

6x=-2

x=-2/6

x=-1/3

7 0
3 years ago
Other questions:
  • The base of a pyramid is a square whose perimeter is 936936 m. what is the length of each side of this​ square?
    13·1 answer
  • Martin measure the links of five shoes in his closet there links were 10.252 inches, 9.894 inches, 10.455 inches, 9.5 to 7", and
    6·1 answer
  • Algebraically determine if the relation x = y2 – 100 is symmetrical with respect to the x-axis, y-axis, or the origin.
    12·1 answer
  • What is the value of the expression 2/4 ^-3?
    6·1 answer
  • Decrease 1440 by 80%
    12·1 answer
  • Central angles are equal to the measure of their intercepted arcs true or false?
    9·2 answers
  • The equation y = 1.9 x can be used to determine the total weight in pounds, y, of the number of paperback books in the first pri
    5·2 answers
  • Graph the function. Then State the domain and range. Also increasing and decreasing​
    5·2 answers
  • X + 3( x + 2) + 2 in the simplest form
    6·2 answers
  • In Heavenly Hash ice cream, the ratio of the amount of cashews to the amount of marshmallows to the amount of chocolate ice crea
    5·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!