Algebra 2/ 20 points + brainliest to *correct* answer!

a satellite dish is being designed so that it can pick up radio waves coming from space. the satellite dish will be in the shape of a parabola and will be positioned above the ground such that its focus is 40 ft above the ground. using the ground as the x-axis, where should the base of the satellite be positioned? which equation best describes the equation of the satellite?

(0, 20); y = 1/80 times x squared + 20
(0, 10); y = 1/120 times x squared + 10
(0, 20); y = 1/80 times x squared − 20
(0, 10); y = 1/120 times x squared − 10

(0, 20); y = 1/80 times x squared + 20

Step-by-step explanation:

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: