To determine which equation matches the graph:
The function is an exponential function that decreases towards negative infinity.
It intersects the y-axis at (0, -4).
Let’s evaluate each option:
A. :
This represents exponential decay with base , and it intersects the y-axis at (0, 4) because .
It does not match the requirement of decreasing towards negative infinity or intersecting at (0, -4).
B.:
This represents exponential decay with base , but with a negative sign. It intersects the y-axis at (0, -4) because .
As x increases, -