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
Nesterboy [21]
3 years ago
6

X = x^2 + 4x + 4

Mathematics
1 answer:
gulaghasi [49]3 years ago
6 0
You mean Y=x^2 + 4x + 4, this is quadratic function (convex parabola) which  standard form is y=ax^2+bx+c 

1. First we will find zero of the function, y=0 or as you like  intersection
    with x axis.
    y=0 =>. x^2+4x+4=0 => this is the square of the binomial  ( x + 2)^2 = 0
    => x + 2 = 0 => x= -2 In this case it's a touch point with x axis.
 2. Intersection with y axis  => If x=0 => y=4  (0, 4)
 3. The coordinate of vertex are x= - b/2a = - 4/2 = -2 and y=(4ac-b^2)/4a
      y= (4* 1*4 - 4^2)/ 4 = (16-16)/4= 0   Vmin ( -2, 0) this point is at same              time zero of the function. 
 4.  Domain:. Dx=R (field of real numbers)
 5.  Range:  y belong to interval ( - infinite, 0) or R-
 6.  Function's sign y>0 => x belong to intervals (-infinite, -2) U ( -2, +infinite)
 7.  Function's growth or decline 
      for x belong interval ( -infinite, -2) => function decline
      for x belong interval ( -2, +infinite) => function is growing

      Thats all !!!!!!






You might be interested in
What is the circumference?
bonufazy [111]

1 : the perimeter of a circle The circle measures 22 inches in circumference. 2 : the external boundary or surface of a figure or object : periphery from the center to the circumference of the sphere.
6 0
2 years ago
Solve the equation by finding the square roots<br>w^2-36=-64​
sammy [17]

Answer:

Rearrange the equation by subtracting what is to the right of the equal sign from both sides of the equation : w^2-36-(-64)=0 Step by step solution : Step 1 : Polynomial Roots Calculator : 1.1 Find roots (zeroes) of : F(w) = w 2 +28 so the answer could be 2.176 or 30.

8 0
3 years ago
Round 2,329.48 to the nearest hundred
Nataly [62]

Answer:

Find the number in the hundred place  

3

and look one place to the right for the rounding digit  

2

. Round up if this number is greater than or equal to  

5

and round down if it is less than  

5

.

ANSWER: 2300

Step-by-step explanation:

5 0
3 years ago
Read 2 more answers
2x3 + x2 + 7x - 6)-(- 2x + 10x + 10x+9)​
AVprozaik [17]

Answer:

2x³ + x² - 11x - 15

Step-by-step explanation:

Step 1: Write out expression

2x³ + x² + 7x - 6 - (-2x + 10x + 10x + 9)

Step 2: Distribute negative

2x³ + x² + 7x - 6 + 2x - 10x - 10x - 9

Step 3: Combine like terms (x)

2x³ + x² + 9x - 10x - 10x - 9 - 6

2x³ + x² - x - 10x - 9 - 6

2x³ + x² - 11x - 9 - 6

Step 4: Combine like terms (constants)

2x³ + x² - 11x - 15

5 0
3 years ago
Is the given pair a solution <br>y=-x -2; (2,-4)
nignag [31]
Yes
because
when x =2 then y = -(2) - 2 = -4

so (2,-4) is a solution

hope it helps
6 0
3 years ago
Other questions:
  • 1 of 20 (19 complete)
    10·1 answer
  • Write the word sentence as an equation. Then solve.
    15·2 answers
  • How to I make 13 subtracted from a number I a expression
    8·1 answer
  • Hellllllllllllllllllllllllllllllllllpppppppppppppppppppppppp whats the x
    7·1 answer
  • I need help with this
    9·2 answers
  • How many pages can be wrote in 8 hours
    13·1 answer
  • In the scale drawing, what will the length of the east, south, west, and north side of the backyard be?
    14·2 answers
  • Rebekah has $400 to spend on a video game system and games. The system cost $289.99 and each game costs $32.29. How many games c
    8·2 answers
  • What is the decimal equivalent of - 3 / 4?
    9·1 answer
  • HELP don’t answer of u don’t know ty
    10·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!