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
vitfil [10]
2 years ago
5

For the function f defined b f(x)=x^2+2x+3 find f(-x), -f(x), and -f(-x).

Mathematics
1 answer:
Rom4ik [11]2 years ago
5 0

Answer:

see explanation

Step-by-step explanation:

To evaluate f(- x) substitute x = - x into f(x)

f(- x) = (- x)² + 2(- x) + 3 = x² - 2x + 3

-----------------------------------------------------

- f(x) = - (x² + 2x + 3) ← distribute parenthesis by - 1

       = - x² - 2x - 3

-----------------------------------------------------------

- f(- x) ← substitute f(- x) from above

= - (x² - 2x + 3) ← distribute parenthesis by - 1

= - x² + 2x - 3

You might be interested in
What is the vertex of g(x) = 3x2 − 12x + 7?<br><br> (−6, −5) <br> (−2, −5)<br> (2, −5)<br> (6, −5)
34kurt

Answer:

(2, -5)

Step-by-step explanation:

Convert to vertex form:

3x^2 - 12x + 7

= 3(x^2 - 4x) + 7

Completing the square:

= 3[ (x - 2)^2 - 4)] + 7

= 3(x - 2)^2 - 12 + 7

= 3(x - 2)^2 - 5.

Comparing with the general form

a(x - b)^2 + c  we see that the vertex is (b, c)  =   (2, -5).

4 0
2 years ago
A state park is designed in a circular pattern as shown. A park ranger drives along the circular path from the ranger station to
Alex777 [14]
HOPE THIS HELPS U
Given:Ranger Station to Nature Center = 90°Nature Center to petting zoo = 40°Petting Zoo to Tennis Court = 120°Tennis Court to Pool = 65°Pool to Ranger Station = 45°radius = 1 mile
arc length = 2πr angle/360°
Ranger station to nature center.
arc length = 2 * 3.14 * 1 mile * 90°/360°arc length = 2 * 3.14 * 1 mile * 0.25arc length = 1.57 miles
Nature center to Petting Zoo
arc length = 2 * 3.14 * 1 mile * 40°/360°arc length = 2 * 3.14 * 1 mile * 0.11arc length = 0.70 miles
1.57 miles + 0.70 miles = 2.27 miles or 2.3 miles CHOICE B

7 0
3 years ago
A marine called from Korea to say the temperature had risen 16 degrees since the sun came up. If it was 9 degrees Fahrenheit whe
jek_recluse [69]

144 degrees Fahrenheit.

you had to multiply 16*9=144

3 0
3 years ago
Erin writes the expression “ $6$ less than double a number.”
bixtya [17]

For this case we must algebraically rewrite the given expression. So:

x: It is the variable that represents an unknown number

"double a number" is represented as: 2x

"6 less than double a number" is represented as: 2x-6

So, the final expression is: 2x-6

If we want to rewrite the expression in an equivalent way, we take common factor 2:

2 (x-3)

Asnwer:

2x-6

Equivalent expression: 2 (x-3)

3 0
2 years ago
Math is annoying! Can someone help me please?
lord [1]
16.  would be C since they both consist of the same variable to the same power

17. x-2x+7-9+4x
     c. 3x-2
18. -4(3a-5). You would multiply -4 by 3 a, and -4 by -5. It turns to
      -4(3a)-4(-5)
     a. -12a+20
4 0
3 years ago
Other questions:
  • In the regression equation, what does the letter "a" represent?
    12·1 answer
  • A gondola (cable car) at a ski area holds 50 people. Its maximum safe load is 10000 pounds. A population of skiers has a distrib
    15·1 answer
  • The width of a triangle is six more than twice the height. The area of the triangle is 88in2. Find the height and base of the tr
    10·2 answers
  • On a line y=3x, when x=2, what does Y equal​
    9·2 answers
  • 40 cans of soda into two groups so that the ratio is 3:5​
    6·1 answer
  • How would a one-fifth in numbers be?​
    12·1 answer
  • Tony who is 6 ft tall is looking at a mirror on the ground 12 feet in front of him and he can see the top of the
    9·1 answer
  • Find the surface area of the prism.
    10·2 answers
  • Т<br> -2 &gt;<br> - 7<br> 6<br> what’s the solution??
    7·1 answer
  • Question Help
    12·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!