Help please I don’t know what to do!!!!!

Question

asked Feb 17, 2022 208k views

2 Answers

Jammus · Answer 1 · 2022-02-23T02:33:48+0000

Answer:

$y = 2(2) {}^(x)$

Explanation:

It ask us to create a exponential function. A exponential function is represented by a equation like this

$y = ab {}^(x)$

where a is the vertical stretch, b is the constant rate of growth, and x is the nth exponet.

Using the point 0,2

we can plug that in to find a part of the equation above.

let x=0 and y=2

$2 = ab {}^(0)$

$b {}^(0) = 1$

2 = a * 1

a = 2

Let update the equation now since a equal 2

$y = 2b {}^(x)$

Now let use point 2,8 to find the b value

let x=2 and y=8

$8 = 2b {}^(2)$

Divide both sides by 2

$4 = {b}^(2)$

take the sqr root of 4

b = 2

Let update the equation

$y = 2(2) {}^(x)$