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]
2 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]2 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
Which calculation should be used to calculate s9 for the arithmetic sequence an=3n-1
Ganezh [65]

Answer: Choice A

S9 = (9/2)*(2+26)

===============================================

The formula is

Sn = (n/2)*(a1+an)

where

Sn = sum of the first n terms (nth partial sum)

n = number of terms

a1 = first term

an = nth term

In this case,

n = 9

a1 = 2 (plug in n = 1 into the formula an = 3n-1 and simplify)

an = a9 = 26 (plug n = 9 into the formula an = 3n-1 and simplify)

So,

Sn = (n/2)*(a1+an)

S9 = (9/2)*(2+26)

will help us find the sum of the first 9 terms of this arithmetic sequence

7 0
2 years ago
Read 2 more answers
What is the height of the parallelogram?
sleet_krkn [62]

Answer:

6 cm

Step-by-step explanation:

The area of a parallelogram is found by

A = b*h

24 = 4*h

Divide each side by 4

24/4 = 4h/4

6 =h

4 0
3 years ago
Read 2 more answers
Two different ratios equivalent to 6:9
Lerok [7]

Answer: 2:3 and 12:18

Step-by-step explanation: Find the multiples of 6 and 9

6 0
2 years ago
Read 2 more answers
Help me please!!!!!!!!
OLga [1]

Answer:

A ≈ 75 in²

Step-by-step explanation:

the area (A) of the circle is calculated as

A = πr² ( r is the radius )

here r = 5 and using 3 for π , then

A = 3 × 5² = 3 × 25 = 75 in²

6 0
2 years ago
Read 2 more answers
What are the factors of x2 - 144?<br> and
likoan [24]

Answer:

Step-by-step explanation:

x² - 144 = x² - 12²

            = (x +12)(x - 12)

a² - b² = (a + b)(a-b)

3 0
3 years ago
Other questions:
  • A tip is a percent of a bill that is added to the total to pay for service coles dinner bill is $15 and he want a to leave an 18
    8·1 answer
  • As many as 60,000 bees can live in 3 cubic feet of space. There are about 360,000 bees in a rectangular obveservation beehive th
    8·1 answer
  • After a dreary day of rain, the sun peeks through the clouds and a rainbow forms. You notice the rainbow is the shape of a parab
    10·2 answers
  • The table below shows all of the possible outcomes for rolling two six-sided number cubes.
    12·2 answers
  • Can y’all solve this?
    15·1 answer
  • Pls help quick
    15·1 answer
  • The volume of 10 drops of a liquid is 0.1 fluid ounce. What is the volume of 10,000 drops?
    10·1 answer
  • Create a system of linear equations that when solved algebraically, prove to have no solution.
    6·1 answer
  • 3y+7&lt;2-y help doing a test rn please help fast
    15·1 answer
  • Can somebody help me solve this ? F(x)=|x|+5
    13·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!