Question

Which of the following exponential equations could describe the graph shown below

Answer 1

3.
`y=(1)/(4)((1)/(2) )^(x)`

Explanation:

To find the equation best suited to the graph, look at the y-intercept, which is where x = 0 and y =
`(1)/(4)`. Use each formula and replace the x with zero to determine the y-intercept of each formula:

1)
`y=2(5)^(0) =2`

2)
`y=(1)/(3)(4)^(x0)=(1)/(3)`

3)
`y=(1)/(4) ((1)/(2) )^(0) =(1)/(4)`

4)
`y=5((1)/(4))^(0)=5`

The only likely equation is number 3

Answer 2

since the line crosses the Y axis below 1 and raises going to the right it would be y=1/3(4)^x