Graph the function using its vertex, axis of symmetry, and intercepts.
f (x) = x2 – 12x + 36

To graph a quadratic equation we first need to factorise it into a different form.

First we check what the discriminant is equal to

Where

f

(

x

)

=

a

x

2

+

b

x

2

+

c

Δ

(Discriminant)

=

b

2

−

4

a

c

In this case

Δ

=

3

2

−

4

⋅

2

⋅

7

Δ

=

−

47

Because it is less than zero it can't be factored normally

Therefore we must use the The Quadratic Formula or Completing the Square

Here I have completed the square

f

(

x

)

=

2

x

2

−

3

x

+

7

Remove factor from

x

2

term

f

(

x

)

=

2

⋅

(

x

2

−

3

2

x

+

7

2

)

Take

x

term, half it and then square it

f

(

x

)

=

−

3

2

→

−

3

4

→

9

16

Add and then subtract this number inside the equation

f

(

x

)

=

2

⋅

(

x

2

−

3

2

x

+

9

16

−

9

16

+

7

2

)

Combine the first three terms in a perfect square

f

(

x

)

=

2

⋅

(

(

x

−

3

4

)

2

−

9

16

+

7

2

)

Equate left over terms

f

(

x

)

=

2

⋅

(

(

x

−

3

4

)

2

+

47

16

)

Multiply coefficient back in

f

(

x

)

=

2

(

x

−

3

4

)

2

+

47

8

This gives a turning point of

(

3

4

,

47

8

)

=

(

0.75

,

5.875

)

and a

y

intercept of

2

⋅

(

3

4

)

2

+

47

8

=

(

0

,

7

)

enter image source here

if the pizza is divided equally into 2 equal halves then you would get

πr^2/2

where r is the radius of the pizza.

happy to

pls mark as brainliest

dalila is incorrect. the whisker on the left is very long, going all the way out to 5. the whisker goes from 5 to 30, so it has a spread of 25. the rest of the box plot values are closer together, so 5 is an outlier