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
andreyandreev [35.5K]
3 years ago
9

A relation contains the points (negative2, 4), (negative1,1), (0,0), (1,1), and (2,4). Which statement accurately describes this

relation?
Mathematics
1 answer:
jasenka [17]3 years ago
7 0

Answer:

We have the points:

(-2,4), (-1, 1), (0, 0), (1, 1), (2, 4)

First, we can see a symmetry around the point (0, 0), then this is an even function. Where an even function is a function f(x) such that:

f(x) = f(-x)

And in this case we have:

f(-2) = 4 = f(2)

f(-1) = 1 = f(1)

Now, we can also assume that this is a quadratic function (or it behaves like a quadratic function near the range [-2, 2]).

Such that:

f(x) = a*x^2 + b*x + c

Now let's use the known points to find our equation, we start with (0, 0)

f(0) = 0 = a*0^2 + b*0 + c

then c = 0.

f(x) = a*x^2 + b*x

Now let's use the points (1, 1) and (-1, 1)

f(1) = a*1^2 + b*1 = 1 = a*(-1)^2 + b*-1

       a + b = a - b

           +b = -b

           2*b = 0

Then we must have b = 0

f(x) = a*x^2

And now we can use the point (2, 4)

f(2) = 4 = a*2^2 = a*4

Then  a = 1.

Our function is f(x) = 1*x^2

You might be interested in
1.A pizza place offers 6 different cheeses and 12 different toppings. In how many ways can a pizza be made with 1 cheese and 3 t
NNADVOKAT [17]
1.) You have 12 toppings. You choose one topping--that leaves you with 11 toppings. You choose another--that leaves 10. 12×11×10 = 1,320.
Multiply 1,320 topping choices by 6 cheeses to get 7,920 total combinations.

2.) (Though I'm less sure of these)
CDs: 6×5×4×3×2 = 720
Cassettes: 5×4 = 20
DVDs: 8×7×6×5 = 1680
4 0
3 years ago
12. 4x2 - 4y2 + 1622 - 16xz​
Snezhnost [94]

Answer:

8(203-2xz)

1624-16xz

have a great day :)

5 0
3 years ago
Read 2 more answers
Find the sum of the first 48 terms of the following series, to the nearest integer. 11, 18,25,...
Zigmanuir [339]

Answer:

8424

Step-by-step explanation:

7 0
2 years ago
Read 2 more answers
Find the diameter, rounded to the nearest tenth.<br>a) 55.5<br>b) 68.2<br>c) 60.7<br>d) 49.1​
docker41 [41]

Answer:

D 49.1

Step-by-step explanation:

Hope it helps

have a great day

3 0
3 years ago
HELP ME PLEASE ON THIS
Anvisha [2.4K]

The answer is [ all real numbers ]

The domain are the input values which makes the function defined and real.

Since we don't have any constraints or any undefined points, the domain could be literally anything. Thus proves out answer.

Best of Luck!

5 0
3 years ago
Read 2 more answers
Other questions:
  • Is -33 irrational or rational?
    10·1 answer
  • A book cost $9.60 after sales tax the book is $10.20 what is the sales tax rate
    7·1 answer
  • Tom drove 260 miles using 12 gallons of gas. At this rate, how many gallons of gas would he need to drive 286 miles?
    8·1 answer
  • 3. Find the angle complementary to the angle 80°25′. A. 180° B. 9°35′ C. 90° D. 99°35′
    15·1 answer
  • 6 Hundreds 3 Tens 17 Ones in Standard Form
    15·2 answers
  • I need help please.....
    7·2 answers
  • so i have this question that says I was at a grocery store and my total is 35.25 but I get to the register and find out it is 25
    6·1 answer
  • Combine like terms in expression below <br><br> 2f + 9e - f + 3e
    6·2 answers
  • <img src="https://tex.z-dn.net/?f=%5Cfrac%7B1%7D%7B2%7D%20%2B%5Cfrac%7B1%7D%7B3%7D" id="TexFormula1" title="\frac{1}{2} +\frac{1
    5·1 answer
  • A boat traveled 27 miles. at this rate how many miles would take in 1/2 hour
    5·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!