What is the vertex of the function f(c)=x^2+12x

Vertex:

(

6

,

−

38

)

x

-intercepts are:

(

6

+

√

38

,

0

)

and

(

6

−

√

38

,

0

)

y

-intercept is:

(

0

,

−

2

)

Explanation:

From this form of the parabola equation, i.e.

a

x

2

+

b

x

+

c

, the

x

-coordinate of the vertex is:

x

=

−

b

2

a

Here,

a

=

1

and

b

=

−

12

, and

c

is

−

2

therefore:

x

=

−

(

−

12

)

2

(

1

)

=

12

2

=

6

Now we plug that into the equation to find

y

:

y

=

6

2

−

12

(

6

)

−

2

=

36

−

72

−

2

=

36

−

74

=

−

38

Vertex:

(

6

,

−

38

)

To find the

x

-intercepts, you have to set

y

(the equation) equal to

0

and solve for

x

x

2

−

12

x

−

2

=

0

We cannot factor this. Let's use the quadratic formula:

x

=

−

b

±

√

b

2

−

4

a

c

2

a

x

=

−

(

−

12

)

±

√

(

−

12

)

2

−

4

(

1

)

(

−

2

)

2

(

1

)

x

=

12

±

√

144

+

8

2

=

12

±

√

152

2

=

12

±

√

2

2

⋅

38

2

=

12

±

2

√

38

2

=

2

(

6

±

√

38

)

2

=

2

(

6

±

√

38

)

2

x

=

6

±

√

38

Therefore, the

x

-intercepts are:

(

6

+

√

38

,

0

)

and

(

6

−

√

38

,

0

)

To find the

y

-intercept, you have to plug in

0

for

x

:

y

=

0

2

−

12

(

0

)

−

2

=

−

2

Therefore, the

y

-intercept is:

(

0

,

−

2

)

Step-by-step explanation:

What is the vertex of the function f(c)=x^2+12x

Step-by-step explanation:

plants store their excess carbohydrate in the form of starch so that it could be used as energy source later on. the excess carbohydrate is converted into starch in the plastid i.e. chloroplast & this process occurs in the presence of sunlight. it is an insoluble polymer of glucose which gets stored in cell organelles named as amyloplasts. in some plants, starch is also stored in roots and embryos.