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
9966 [12]
3 years ago
12

Which is the equation of the parabola?

Mathematics
1 answer:
dimaraw [331]3 years ago
6 0

Answer: y = one sixteenth(x − 4)^2 + 2

Step-by-step explanation:

If the parabola is written as:

y = a*x^2 + b*x + c

then if the graph opens up, then a must be positive, so we can discard the third and fourth options, we remain with:

y = 1/6*(x - 4)^2 + 2 = 1/6x^2 - (8/6)*x + (16/6 + 2)

y =  1/6*(x + 4)^2 - 2  =  1/6x^2 + (8/6)*x + (16/6 - 2)

the vertex (4, 2)

then

x = -b/2a = 4.

this means that a and b must be of different sign, then the only correct option can be:

y = 1/6*(x - 4)^2 + 2 = 1/6x^2 - (8/6)*x + (16/6 + 2)

where:

x-vertex  = (8/6)/(2/6) = 4 as we wanted.

when we evaluate this function in x = 4 we get

y = 1/6*( 4 - 4)^2 + 2 = 2.

So the correct option must be: y = one sixteenth(x − 4)2 + 2

You might be interested in
F(x)=17-5x at x=8 Help me plz​
OLEGan [10]
The derivative is -5
4 0
3 years ago
Read 2 more answers
Jordy was living in a third story apartment in his complex. up there he was paying an annual renters insurance premium of $325.0
Margaret [11]
New annual renter's insurance premium = 325(1 + 0.18) = 325 x 1.18 = $383.50
6 0
3 years ago
Read 2 more answers
Consider the following operations on the number 8.82 x 10^-2. Without using a calculator, decide which would give a significantl
Ksenya-84 [330]

Correct question is;

Consider the following operations on the number 8.85 x 10^(-2). Without using a calculator, decide which would give a significantly smaller value than 8.85 x 10^(-2), which would give a significantly larger value, or which would give essentially the same value.

A) 8.85 × 10^(-2) + 6.69 × 10^(5)

B) 8.85 x 10^(-2) - 6.69 x 10^(5)

C) 8.85 x 10^(-2) x 6.69 x 10^(5)

D) 8.85 × 10^(-2) ÷ 6.69 × 10^(5)

Answer:

Option A & B yield essentially the same value.

Option C yields a significantly smaller value

Option D yields a significantly larger value

Step-by-step explanation:

Since given value for the operations is in 10^(-2) indices, then let's convert the operations numbers from 10^(5) indices to 10^(-2).

Thus;

6.69 × 10^(5) = (6.69 × 10^(-7)) × 10^(-2)

Thus;

A) 8.85 × 10^(-2) + 6.69 × 10^(5) is now;

8.85 × 10^(-2) + ((6.69 × 10^(-7)) × 10^(-2))

This gives;

[8.85 + (6.69 × 10^(-7))] × 10^(-2)

The 10^(-7) indices indicates that the initial value of 8.85 × 10^(-2) would not change much and would essentially be the same

B) 8.85 x 10^(-2) - 6.69 x 10^(5) is now;

8.85 × 10^(-2) - ((6.69 × 10^(-7)) × 10^(-2))

This gives;

[8.85 - (6.69 × 10^(-7))] × 10^(-2)

Again the 10^(-7) indices indicates that the initial value of 8.85 × 10^(-2) would not change much and would essentially be the same.

C) 8.85 x 10^(-2) x 6.69 x 10^(5) is now;

(8.85 × 10^(-2)) × ((6.69 × 10^(-7)) × 10^(-2))

This gives;

[8.85 × (6.69 × 10^(-7))] × 10^(-2)

When we multiply 8.85 by 6.69 × 10^(-7), the value gotten will be way lower than the initial value of 8.85.

Thus,this operation will give a significantly smaller value.

D) (8.85 × 10-2) ÷ (6.69 × 10^5) is now;

(8.85 × 10^(-2)) ÷ ((6.69 × 10^(-7)) × 10^(-2))

This gives;

[8.85 ÷ (6.69 × 10^(-7))] × 10^(-2)

When we carry out the operation:

8.85 ÷ (6.69 × 10^(-7)), it is essentially equal to (8.85 × 10^(7))/6.69.

This means that the new value would be significantly larger than the initial value of 8.85.

Thus,this operation yields a significantly larger value.

4 0
3 years ago
F(-1)=-3 and g(-1)=5
valentinak56 [21]

Answer:

What do you have to do what is the question asking


Step-by-step explanation:


7 0
3 years ago
I need help asap please? this is for math? what is the square root of 144+12^2-72x6/3?
kirill115 [55]

Answer:

the answer is 312 hopes this helps

Step-by-step explanation:

the square root of 144 is 12

12+12^2 =?

12+144=156

156x6=936

936/3=?

312

4 0
2 years ago
Read 2 more answers
Other questions:
  • What is the value of 9 in the number 59.533
    5·2 answers
  • If one U.S. dollar is worth 0.690 English pounds, how many U.S dollars are needed to purchase an item that costs 350 dollars?
    5·1 answer
  • Please do asap! Due Tomorrow!!! Please don't delete!!! Show Work!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
    7·1 answer
  • The equation of a line is x + 4y = 15.
    9·2 answers
  • What is the solution to the system of equations?
    6·1 answer
  • A certain road shows two s. A is long but is long on the . What is the unit rate for per on this ​? If B is ​long, how long is B
    5·1 answer
  • 4 – (2x + 5) = (–4x – 2)
    7·2 answers
  • 70 barstools from a random sample of 3500 barstools were damaged in the shipping process based on the results from the sample ab
    9·1 answer
  • HelP me plz i'll give brainliest or whatever
    10·1 answer
  • ✓2(✓3+✓5)-√6-✓10<br>rationalize​
    12·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!