Question

If (-3, y) lies on the graph of y = , then y =

Answer 1

The value of y is 64.

Explanation:

The given equation is

`y=((1)/(4))^x`

It is given that (-3, y) lies on the graph of y. It means the equation of the function must be satisfy by the point (-3,y).

Substitute x=-3 in the given equation to find the value of y,

`y=((1)/(4))^(-3)`

`y=4^(3)`
`((a)/(b))^(-n)=((b)/(a))^n`

`y=64`

Therefore the value of y is 64.