Two quadratic functions are shown.Function 1: Function 2:f(x)=3x2+6x+7\begin{tabular}{|l|l|}\hline x & g(x) \\\hline−2 & 13 \\\hline−1 & 7 \\\hline 0 & 3 \\\hline 1 & 7 \\\hline\end{tabular}Which function has the least minimum value and what are its coordinates? (5 points)
Q. Two quadratic functions are shown.Function 1: Function 2:f(x)=3x2+6x+7\begin{tabular}{|l|l|}\hline x & g(x) \\\hline−2 & 13 \\\hline−1 & 7 \\\hline 0 & 3 \\\hline 1 & 7 \\\hline\end{tabular}Which function has the least minimum value and what are its coordinates? (5 points)
Calculate Vertex: Calculate the vertex of f(x) using the formula for the vertex of a quadratic function, x=−2ab. For f(x) = 3x^2 + 6x + 7, a = 3 and b = 6.
Substitute x: Substitute x=−1 into f(x) to find the y-coordinate of the vertex.
Analyze Values: Analyze the values of g(x) given in the table to find the minimum value.
Compare Minimum Values: Compare the minimum values of f(x) and g(x).