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
Katena32 [7]
3 years ago
11

Write an equation of the parabola in vertex form

Mathematics
1 answer:
soldi70 [24.7K]3 years ago
4 0

Step-by-step explanation:

Recall that a parabola is the graph representing a quadratic equation, which is standard form is as follows:

y = ax2 + bx + c

where the value of 'a' determines whether the parabola opens upwards of downwards (i.e., the parabola opens upwards if a>0 and opens downwards if a<0) and the axis of symmetry is given by the line x = -b/(2a).

The vertex form of a parabola's (or a quadratic) equations is given by the following formula:

y = a(x - h)2 + k , where (h, k) is the vertex and the axis of symmetry is given by the line x = h.

Given that the vertex is at (0, 3), then ..... h = 0 and k = 3 ..... thus,

y = a(x - 0)2 + 3

y = a(x)2 + 3

With a point at (-4, -45), then ..... x = -4 and y = -45 ..... therefore,

-45 = a(-4)2 + 3

-45 = a(16) + 3

Solve for a by first subtracting 3 from both sides of the equation then dividing both sides of the equation by 16:

-45 - 3 = a(16) + 3 - 3

-48 = a(16)

-48/16 = 16a/16

-3 = a

With a vertex (h, k) at (0, 3) and given that a = -3, then the equation of this parabola in vertex form is as follows:

y = a(x - h)2 + k

y = -3(x - 0)2 + 3

y = -3x2 + 3

You might be interested in
two mechanics worked on a car. the first mechanic worked for 10 hours, and the second mechanic worked for 15 hours. together the
STALIN [3.7K]

Answer:

i think its 50

Step-by-step explanation:

8 0
3 years ago
Read 2 more answers
{1, 4, 9, 4, 10, 8, 42}
Marta_Voda [28]
Mode because there is an outlier

~Mathlete12321~
3 0
3 years ago
Choose the smallest number 3 1/8 or 10/3
Aliun [14]

Answer:

10/3

Step-by-step explanation:

31/8= 3.8

10/3= 3.3

8 0
3 years ago
Look at the following numbers:
laiz [17]
The answer is -4, 4.
Because -4 + 4 will become 0.



4 0
3 years ago
Read 2 more answers
Please help with this :(
kirill [66]

Answer: -m^4

Step-by-step explanation:

8 0
3 years ago
Read 2 more answers
Other questions:
  • Which statemate is not true
    10·1 answer
  • Convert 5-i into polar form.
    13·1 answer
  • Find the product. Select the answer that is in simplest form. 2/3 × 4 /5 = ?
    14·2 answers
  • 17x25i don't know how to do this
    12·2 answers
  • What is 49400000000000 written in scientific notation
    10·1 answer
  • Graph the libne with a Y intercept of -2 and slope of -1/3 what is the X intercept of the line
    13·1 answer
  • Find the surface area of a sphere that has a volume of 288 cu. in.
    13·1 answer
  • Draw two possible rectangles for a perimeter of 8 units
    13·2 answers
  • What's the correct answers since i got em wrong<br><br>​
    8·1 answer
  • What is the solution to the system of equations below? x + 3 y = 15 and 4 x + 2 y = 30 (7 , 2) (2, 7) (4, 3) (3, 4)
    14·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!