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
andrew11 [14]
2 years ago
15

The graph of a quadratic function has a vertex at (5,3) and goes through the point (-1,-9). What is the equation of the function

?
Mathematics
1 answer:
kotegsom [21]2 years ago
8 0

Answer:

y=-\frac{1}{3} (x-5)^2+3

Step-by-step explanation:

We are given the following;

  • Vertex of a quadratic function = (5,3)
  • A point where the function passes through (-1, -9)

Required to determine the equation of the function;

  • We need to know the vertex form of a quadratic function is;

y=a(x-h)^2+k, where h and k correspond to the vertex (h,k)

  • Therefore, we can replace the variables h and k of the vertex in the equation;

That is;

y=a(x-5)^2+3

Then we use the equation and the point given to solve for a

x = -1 and y = -9

We get;

-9=a(-1-5)^2+3\\-9 = a(36) + 3\\-9 - 3 = 36a\\-12 =36a \\a=-\frac{1}{3}

Substituting the values of a, h and k in the equation, we get;

y=-\frac{1}{3} (x-5)^2+3

Thus, the equation of the function in the vertex form is y=-\frac{1}{3} (x-5)^2+3

You might be interested in
What is the sum of the rational expressions below? 2x/ x+2 + x/ x-3
marshall27 [118]
The sum of the rational expression is
X=4
3 0
3 years ago
Read 2 more answers
it takes 3,600 person hours to complete a project.how many weeks will it take a team of 15 people to complete the job if each pe
lilavasa [31]
21 hope this helps slmvsdv
4 0
3 years ago
On your own paper, plot the Points E(−2,2) and F(8,10). Use the vertical and horizontal grid lines to draw a right triangle with
lakkis [162]

Answer:

sssssss

Step-by-step explanation:

sssssssssssssssssssssssssss

6 0
2 years ago
If the mean of 25, 28, a, 30 and 32 is 27, then find the value of a.
Anna11 [10]

Answer:

a = 20

Step-by-step explanation:

The mean is calculated as

mean = \frac{sum}{count}

          = \frac{25+28+a+30+32}{5}  = \frac{115+a}{5}

Then

\frac{115+a}{5} = 27 ( multiply both sides by 5 to clear the fraction )

115 + a = 135 ( subtract 115 from both sides )

a = 20

6 0
3 years ago
Tank A has a capacity of 9.5 gallons. 6 1\3 gallons of the tank"s water are poured out. How many gallons of water are left in th
aleksandr82 [10.1K]

Answer:  Since 1/3 can't be turned into a decimal, change .5 into 1/2. In order to subtract, the fractions need a common denominator. The least common denominator is 6. So 1/3 turns into 2/6, and 1/2 turns into 3/6. Now you need to take 9 3/6 minus 6 2/6. The answer is 3 1/6 gallons of water.


Step-by-step explanation:


4 0
2 years ago
Other questions:
  • 91 more than the square of a number
    11·2 answers
  • Find the length of the altitude drawn to the hypotenuse. The triangle is not drawn to scale.
    10·1 answer
  • Two numbers total 10, and there difference is 12. Find a smaller of the two numbers.
    8·1 answer
  • A group of 8 Trends (5 girls and 3 boys) plans to watch a movie, but they have only 5 tickets. How many different combinations o
    9·1 answer
  • Equation equivalent to 5x(3x+4)
    15·2 answers
  • A computer store pays $6 for a computer mouse. The percent of markup is 75%. How much will the store sell the mouse to the publi
    15·2 answers
  • Please I need help I mark brainliest!
    15·1 answer
  • A mechanic has sockets with sizes shown below. Write each fraction in the correct box.​
    5·1 answer
  • 2.
    12·1 answer
  • Marcella is flying a kite in a competition. To win the competition, her kite string must have at least 162 feet
    6·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!