Answer:
The value of y is 64.
Step-by-step explanation:
The given equation is
[tex]y=(\frac{1}{4})^x[/tex]
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,
[tex]y=(\frac{1}{4})^{-3}[/tex]
[tex]y=4^{3}[/tex] [tex](\frac{a}{b})^{-n}=(\frac{b}{a})^n[/tex]
[tex]y=64[/tex]
Therefore the value of y is 64.
