To fill in the missing elements of the exponential growth equation \( y = ( ) x \), we typically start with the form of an exponential growth function, which is often expressed as:
\[ y = a \cdot b^x \]
Where:
- \( a \) is a constant that represents the initial value when \( x = 0 \).
- \( b \) is the growth factor (since the graph is increasing and concave up, \( b > 1 \)).
Since I can’t see the image, you would need to look at the three marked points on the graph to find specific values for \( a \) and \( b \).
To determine the values:
- Identify the coordinates of the three marked points on the curve.
- Use one of the points to solve for \( a \) (for example, if one point is \( (0, y_0) \), then \( a = y_0 \)).
- Use another point to solve for \( b \) by substituting the \( x \) and \( y \) values into the equation \( y = a \cdot b^x \) and solving for \( b \).
Once you have determined these constants, you can fill in the equation in the format you provided. Without the specific points from the image, I can't provide the exact values for \( a \) and \( b \).