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andreev551 [17]
3 years ago
13

Complete the square to transfer into vertex form and find the vertex: f(x)= x^2+6x-22

Mathematics
2 answers:
ioda3 years ago
5 0

Answer:

To create a trinomial square on the left side of the equation, find a value that is equal to the square of half of  

b

.

(

b

2

)

2

=

(

−

3

)

2

Add the term to each side of the equation.

x

2

−

6

x

+

(

−

3

)

2

=

22

+

(

−

3

)

2

Simplify the equation.

Tap for more steps...

x

2

−

6

x

+

9

=

31

Factor the perfect trinomial square into  

(

x

−

3

)

2

.

(

x

−

3

)

2

=

31

Solve the equation for  

x

.

Tap for more steps...

x

=

±

√

31

+

3

The result can be shown in multiple forms.

Exact Form:

x

=

±

√

31

+

3

Decimal Form:

x

=

8.56776436

…

,

−

2.56776436

…

Step-by-step explanation:

thats took a while lol

seropon [69]3 years ago
4 0
(X+3)^2-31. I used a calculator
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saul85 [17]

Answer:

HJ

Step-by-step explanation:

we know that

If two lines are parallel, then their slopes are the same

so

The slope of the line that is parallel to a line that has a slope of 3 is equal to 3

Verify the slope of the blue and red line , because their slopes are positive

<em>Blue line</em>

we have

C(-3,0),D(3,2)

The slope m is equal to

m=(2-0)/(3+3)

m=2/6

m=1/3

<em>Red line</em>

we have

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m=6/2

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therefore

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