Algebra-2

Question Analysis
This question involves finding the initial value (coefficient) of an exponential function given two points on its graph.
The main focus is on using the initial point (where the x-coordinate is 0) to find the coefficient in the exponential function.

Key Concept Explanation
For any exponential function in the form (where and ):
When , . This means the y-intercept of the function (the point where ) is always .
If a second point is given, it can be used to find b, but in this case, b is already provided (3), so we only need a.

Step-by-step Solution
1. Recognize the form of : The question gives , which is with . We need to find a.
2. Use the point (where , ):
Substitute and

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