Question

Can someone help solve/understand this?? plzzzz

Answer 1

`y = 4(0.5) {}^(x)`

Explanation:

By looking at your graph, The y intercept is (0,4).

This is an exponential function so it is represented by

`y = ab {}^(x)`

where a is the vertical stretched and b is the constant rate and x is the nth power.

let plug in 0,4

`4 = ab {}^(0)`

`b {}^(0) = 1`

since anything to the 0 power is 1.

`4 = a * 1`

`4 = a`

Know let plug it in to this equation.

`y = 4b {}^(x)`

Let use 2,1 another point on the graph

`1 = 4b {}^(2)`

Divide 4 by both sides

`0.25 = {b}^(2)`

take sqr root of 0.25

`0.5 = b`

So

the answer is

`y = 4(0.5) {}^(x)`