Answer:
Step-by-step explanation:
First, start out with the parent function:
[tex]y = b^{x}[/tex]
Now, we look at the transformations, and make the equation.
We see that the graph shifted down 4 units, since the graph's horizontal asymptote is at y = -4.
[tex]y = b^{x} - 4[/tex]
We see point (0, -3) to point (1, -1). The value of b would be 3. The reason is that when you plug 0 in, you get 1, then 1 - 4 equals 3. (0, -3),
Then, when you plug in 1, you get 3, then 3 - 4 equals -1. This matches up with the graph.
This is the answer:
[tex]y = 3^{x}-4[/tex]
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