Question

solve graphically

y = (1/2)^(-x-2) = -x^2 + 5

Answer 1

\[y=(\frac{ 1 }{ 2 })^{-x-2}=-x ^{2}+5\]

Answer 2

Stat with this: \(\left(\dfrac{1}{2}\right)^{-x-2} = \left(\dfrac{1}{2}\right)^{-(x+2)} = \left(\left(\dfrac{1}{2}\right)^{-1}\right)^{(x+2)} = 2^{x+2}\).

Answer 3

alright, did that, what is next?

Answer 4

plot 2 graphs on the same grid
y = 1/2^(-x-2) and y = -x^2 + 5
use the same set of x values
find where the graphs intersect

Answer 5

thank you again triciaal and tkhunny

Answer 6

https://www.desmos.com/calculator/ejeeqrztmz

Answer 7

you are welcome!!