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
AURORKA [14]
2 years ago
7

Equation of the parabola in vertex form that passes through (4,-7) and has a vertex of (1,-6)

Mathematics
1 answer:
Alina [70]2 years ago
7 0

y = -\frac{1}{9}(x - 1)^2 - 6

Step-by-step explanation:

The vertex form of the equation for a parabola is given by

y = a(x - h)^2 + k

where (h, k) are the coordinates of the parabola's vertex. Since the vertex is at (1, -6), we can write the equation as

y = a(x - 1)^2 - 6

Also, since the parabola passes through (4, -7), we can use this to find the value for a:

-7 = a(4 - 1)^2 - 6 \Rightarrow -7 = 9a - 6

or

a = -\frac{1}{9}

Therefore, the equation of the parabola is

y = -\frac{1}{9}(x - 1)^2 - 6

You might be interested in
(76-x+(17+4x)(25+7x)​
daser333 [38]
I believe this is correct

8 0
3 years ago
Read 2 more answers
Help me please [giving brainliest to best answer with step by step]
ollegr [7]

Hi there!

\large\boxed{3\text{ }  \frac{3}{4} cm^3}

Knowing that one cube has side-lengths of 1/2, we can calculate the dimensions for the prism:

Length: 1/2 × 5 = 2.5 cm

Height: 1/2 × 3 = 1.5 cm

Width: 1/2 × 2 = 1 cm

Use this formula to solve for the volume:

V = l × w × h

Thus:

V = 2.5 × 1.5 × 1 = 3.75 cm³

Convert to fraction:

75/100 = 3/4

Thus, the volume in mixed-numbers is 3 3/4 cm³.

7 0
2 years ago
Five times a number is greater then 25
Tems11 [23]
The answer might be 5 times 7 that is 35
6 0
3 years ago
Read 2 more answers
The perimeter of a square room is 24 m. What is the cost of flooring the room with redwood if the cost is $15.00 per square mete
svetlana [45]

Answer:

$360.00 for the whole room

Step-by-step explanation:

5 0
3 years ago
Can someone help me with this problem? thank you!
abruzzese [7]

Answer:

When 6x - 4 = 8, x = 2.

Step-by-step explanation:

6x - 4 = 8

Add 4 to both sides.

6x = 12

Divide both sides by 6.

x = 2

Proof:

6x - 4 = 8

Substitute variable.

6(2) - 4 = 8

Multiply 6 and 2.

12 - 4 = 8

Subtract 4 from 12.

8 = 8

3 0
2 years ago
Read 2 more answers
Other questions:
  • Which is greater 6km or 54,000 mm
    15·2 answers
  • What is the answer for this problem for f(x)=2x+1 and g(x)=x^2-7, find (f+g)(x)
    10·1 answer
  • Six friends at movies they have half a bag of popcorn's how much will each friend get
    11·2 answers
  • Latisha’s water bottle can hold 0.3 liters. How many milliliters can it hold?
    13·2 answers
  • What is 8+w/4 when w =16
    11·2 answers
  • John is putting money into his saving account. He starts with $350 in the savings account, and each week he adds 60$
    10·1 answer
  • How many lines of symmetry does the shape have?
    13·2 answers
  • What are the four main legal structures for a business in the United states
    9·1 answer
  • Which is one of the transformations applied to the graph of f(x)=x^2 to change it into the graph of g(x)=-x^2+16x-44
    9·2 answers
  • Equation practice with angle addition ​<br>please help guys ❤
    14·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!