To write the correct exponential equation for a graph, we typically need the form of the exponential function, which is usually represented as:
\[ y = ab^{x} \]
where:
- \( y \) is the output,
- \( x \) is the input,
- \( a \) is a constant that represents the y-intercept (the value of \( y \) when \( x = 0 \)),
- \( b \) is the base of the exponential function, which determines the rate of growth or decay.
To construct the specific equation given points from the graph, you would follow these general steps:
- Identify the y-intercept (if it is visible), which gives you the value of \( a \).
- Use the coordinates of the two points on the curve to form equations that allow you to solve for \( a \) and \( b \).
If you provide the coordinates of the labeled points on the curve or any specific details about the graph, I can help you formulate the exact exponential equation.