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
pickupchik [31]
3 years ago
10

The parabola opens upward has x = 2 as an axis of symmetry and contains the non -vertex points (1, 9) and (4, 27) write the equa

tion in vertex form for this parabola .
Mathematics
1 answer:
Sedaia [141]3 years ago
4 0

Answer:

<h3>               f(x) = 6(x - 2)² + 3</h3>

Step-by-step explanation:

f(x) = a(x - h)² + k    - vertex form of the equation of the parabola with vertex (h, k)

"the parabola opens upward" means:  a>0

"the parabola has x = 2 as an axis of symmetry" means:  h = 2

so f(x) = a(x - 2)² + k

"the parabola contains the point (1, 9)" means:

9 = a(1 - 2)² + k

9 = a(-1)² + k

9 = a + k

k = 9 - a

"the parabola contains the point (4, 27)" means:

27 = a(4 - 2)² + k

so:

27 = a(2)² + 9 - a

27 = 4a + 9 - a

3a = 18

a = 6

and  k = 9 - 6 = 3

Therefore the vertex form for this parabola is:

                                     <u> f(x) = 6(x - 2)² + 3</u>

You might be interested in
What is the answer to this?
ehidna [41]

The answer is B, congruent

3 0
3 years ago
Read 2 more answers
PLEASE ANSWER ASAP IF ANSWERED WITHIN 30 MINUTES YOU WILL RECEIVE BRAINLIEST
Hunter-Best [27]
A. 9.3 x 10^7 miles
B. 4 x 10^-2 inches
C. 5.89248 x 10^12 inches
D. 1.47312 x 10^14 fireflies
3 0
3 years ago
Read 2 more answers
Martha wants to put down new carpet in her living room. What type of measurement does she need to find to figure out how much ca
Sergio [31]
She needs to find the AREA
8 0
2 years ago
Read 2 more answers
Erica makes a banner using 4 sheets of paper. Each paper measues 9 inches by 10 incjes. What is the total area of ericas banner?
Law Incorporation [45]
The answer is 360 in²  If you need to see work just tell me :)
6 0
3 years ago
Read 2 more answers
How much is House A worth after two years? Round your answer to the nearest dollar.
Gekata [30.6K]

Answer:

see below

Step-by-step explanation:

Take the original value times the appreciation and add the original value

Do this for each year

House A

year 1:

 new value = 125260+ 125260* .05

                    =125260 +6263

                     =131523

year 2:

 new value = 131523+131523* .05

                    131523+6576.15

                         138099.15

Nearest dollar  138099

House B

year 1:

 new value = 120160+ 120160* .06

                    =120160 +7209.60

                     =127369.6

year 2:

 new value = 127369.60+127369.6* .05

                    127369.60+7642.18

                         135011.78

Nearest dollar  135012

4 0
3 years ago
Read 2 more answers
Other questions:
  • 11. Solve for x 3x + 3 − x + (−7) &gt; 6 A. x &gt; 5 B. x &gt; (−5) C. x &lt; 5 D. x &gt; 2.5
    6·2 answers
  • Find the point on the terminal side of θ = -3<img src="https://tex.z-dn.net/?f=%20%5Cpi%20" id="TexFormula1" title=" \pi " alt="
    5·1 answer
  • Josh leans the ladder against a side of her house which is 10 feet. If the base of the latter is 3 feet away from the house, how
    7·1 answer
  • suppose that 4 out of 5 people prefer bright white toothpaste. what percent of people prefer that toothpaste ?
    7·1 answer
  • A
    9·1 answer
  • If the friends collected 32 cans in total, how many more cans were collected by Lisa than by
    7·1 answer
  • Mrs. Fox made $176.50 in three hours. How much did she make in one hour?
    14·2 answers
  • Find the missing side lengths . Leave your answers as radicals in simplest form.
    13·1 answer
  • According to a NY Times article on December 13, 2009, The average selling price of a 32-inch LCD TV was $600. Use the annual CPI
    14·1 answer
  • What is 409/2 as a mixed number? :)
    14·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!