To determine the constant term \( c \) of the quadratic function in standard form \( y = ax^2 + bx + c \), we need to know the function values at specific points. The constant term \( c \) represents the value of the function when \( x = 0 \), which is the \( y \)-intercept.
From the information provided, there's only one point given: (-2, -6). This means that when \( x = -2 \), \( y = -6 \). However, we don't have enough information to directly calculate the value of \( c \) since we need to know the value of the function for \( x = 0 \).
If the graph of the quadratic function were provided, or if additional points or information about the vertex or another point were included, we could determine the quadratic function more accurately.
Given just the single point, we can't conclusively find \( c \). We would need more points or details from the graph or any additional structure it adheres to (like symmetry, vertex, etc.) to identify \( c \).
Therefore, as it stands, we cannot determine the value of \( c \) from the provided information. If you have more information or another point on the graph, please provide that to find \( c \).
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