Question

Can someone help solve/understand this?? plzzzz

Answer 1

Answer:

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

Step-by-step 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.

$4 = a \times 1$

$4 = a$

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

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