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nignag [31]
4 years ago
9

What is the graph of the function f(x)=x2+ 2x+ 3?

Mathematics
1 answer:
8090 [49]4 years ago
8 0

Answer:


Step-by-step explanation:

The best way to do this is to let a graphing program do it. You could do it from a chart, but a graphing program can be useful for that as well. We'll make up a mini chart here

x        method                        y

-3      (-3)^2 + 2(-3) + 3 =       6

-2      (-2)^2 + 2(-2) + 3 =       3

-1       (-1)^2 + 2(-1)  + 3 =        2

0                                            3

1        (1)^2 + 2(1) + 3              6

2        (2^2) + 2(2) + 3           11

3        (3)^2  +2(3) + 3            18  

See the graph below.    

You can pick it out from the graphs you were given.                

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Y=4x−2 <br> y=x+3<br> what are the values of x and y
joja [24]

Answer:x=5/3 y=14/3

Step-by-step explanation:

y=4x-2...........(1)

y=x+3..............(11)

Subtract (11) from (1)

0=3x-5

Collect like terms

3x=5

Divide both sides by 3

3x/3=5/3

x=5/3

Substitute x=5/3 in y=x+3

y=5/3 + 3

y=(5+9)/3

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Therefore x=5/3 y=14/3

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Answers:
____________________________________
<span>
Angle B:  81°</span> .
____________________________________
<span>
Angle C:  99°</span> .
____________________________________
<span>
Angle D:  81°</span> .
_____________________________________________
<span>
Explanation:</span>
_______________________________________________________
<span>
Angle B:</span>
_______________________________________________________
Given:  m∡A = 99° ;

 ∡A and ∡B are "supplementary angles" ;
                          and supplementary angles add up to 180°.
_______________________________________________________
<span>      → So, m∡B = 180 − 99 = 81° </span>.
_______________________________________________________
Angle C:  99° .
_______________________________________________________
Explanation:
_______________________________________________________
 Given:  m∡A = 99° .

 ∡A and ∡C are "vertical angles".  Vertical angles are congruent.
______________________________________________________
   → So m∡A = m∡C = 99° .
______________________________________________________
Angle D:  81° .
______________________________________________________
Explanation:
______________________________________________________
   ∡B and ∡D are vertical angles.  Vertical angles are congruent.
    
    As previously determined above,  m∡B = 81° .
______________________________________________________
     → So, m∡D = m∡B = 81° .
<span>______________________________________________________</span>
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