Complete the square for the following quadratic function:

y = -6x2 + 36x - 12

then, graph the function. point out the line of symmetry and state the maximum or minimum value.

✡︎︎♋︎●︎●︎ ♑︎♏︎⧫︎ ♋︎●︎●︎ ❍︎⍓︎ ◻︎□︎♓︎■︎⧫︎⬧︎

translation(y'all get all my points)

answer:

step-by-step explanation:

y

=

−

6

x

2

+

36

x

−

12

y

=

-

6

x

2

+

36

x

-

12

to find the x-intercept, substitute in

0

0

for

y

y

and solve for

x

x

.

0

=

−

6

x

2

+

36

x

−

12

0

=

-

6

x

2

+

36

x

-

12

solve the equation.

tap for more

x

=

3

+

√

7

,

3

−

√

7

x

=

3

+

7

,

3

-

7

to find the y-intercept, substitute in

0

0

for

x

x

and solve for

y

y

.

y

=

−

6

(

0

)

2

+

36

(

0

)

−

12

y

=

-

6

(

0

)

2

+

36

(

0

)

-

12

simplify

−

6

(

0

)

2

+

36

(

0

)

−

12

-

6

(

0

)

2

+

36

(

0

)

-

12

.

tap for more

y

=

−

12

y

=

-

12

these are the

x

x

and

y

y

intercepts of the equation

y

=

−

6

x

2

+

36

x

−

12

y

=

-

6

x

2

+

36

x

-

12

.

x-intercept:

(

3

+

√

7

,

0

)

,

(

3

−

√

7

,

0

)

(

3

+

7

,

0

)

,

(

3

-

7

,

0

)

y-intercept:

(

0

,

−

12

)y

=

−

6

x

2

+

36

x

−

12

y

=

-

6

x

2

+

36

x

-

12

to find the x-intercept, substitute in

0

0

for

y

y

and solve for

x

x

.

0

=

−

6

x

2

+

36

x

−

12

0

=

-

6

x

2

+

36

x

-

12

solve the equation.

tap for more

x

=

3

+

√

7

,

3

−

√

7

x

=

3

+

7

,

3

-

7

to find the y-intercept, substitute in

0

0

for

x

x

and solve for

y

y

.

y

=

−

6

(

0

)

2

+

36

(

0

)

−

12

y

=

-

6

(

0

)

2

+

36

(

0

)

-

12

simplify

−

6

(

0

)

2

+

36

(

0

)

−

12

-

6

(

0

)

2

+

36

(

0

)

-

12

.

tap for more

y

=

−

12

y

=

-

12

these are the

x

x

and

y

y

intercepts of the equation

y

=

−

6

x

2

+

36

x

−

12

y

=

-

6

x

2

+

36

x

-

12

.

x-intercept:

(

3

+

√

7

,

0

)

,

(

3

−

√

7

,

0

)

(

3

+

7

,

0

)

,

(

3

-

7

,

0

)

y-intercept:

(

0

,

−

12

)

square root of 36/6 = 2.449489743

square root of 16/6 = 1.632993162

square root of 6 = 2.449489743

the answer is square root of 16/6 because the square root of 36/6 is the same answer as square root of 6 = 2.449489743