Identify the focus and directrix of the parabola whose equation is (y-4)^2 = -12(x-7)

Answer : Focus (4,4)  , directrix x=10

Given equation is

The given equation is in the form of

Where vertex is (h,k)

h = 7  and k = 4  so vertex is (7,4)

4p = -12 so p = -3

Focus is (h+p, k)

h=7, k=4  and p = -3

focus is (7-3, 4) that is (4,4)

now we find directrix

Directrix x= h-p

So x= 7-(-3)= 10

Focus (4,4)  , directrix x=10

use the power rule  

( a b ) n = a n b n

to distribute the exponent.

apply the product rule to  

3 x 2 y 3 . ( 3 x 2 ) 2 ( y 3 ) 2

apply the product rule to  

3 x 2 . 3 2 ( x 2 ) 2 ( y 3 ) 2

raise  

3

to the power of  

2 . 9 ( x 2 ) 2 ( y 3 ) 2 multiply the exponents in   ( x 2 ) 2

.

apply the power rule and multiply exponents,  

( a m ) n = a m n . 9 x 2 ⋅ 2 ( y 3 ) 2

multiply  

2   by   2 . 9 x 4 ( y 3 ) 2

multiply the exponents in  

( y 3 ) 2 .

apply the power rule and multiply exponents,  

( a m ) n = a m n . 9 x 4 y 3

⋅

2

multiply  

3   by   2 . 9 x 4 y 6

step-by-step explanation:

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