# SOLUTION: Find the quadratic function that has a vertex at (-1,3) and whose graph passes through the point (2,1).

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 Algebra: Graphs, graphing equations and inequalities Solvers Lessons Answers archive Quiz In Depth

 Question 146893: Find the quadratic function that has a vertex at (-1,3) and whose graph passes through the point (2,1).Answer by Edwin McCravy(8893)   (Show Source): You can put this solution on YOUR website!Find the quadratic function that has a vertex at (-1,3) and whose graph passes through the point (2,1). ``` All quadratic functions are in the form or for convenience, let's write for where the vertex is (,). So since the vertex is (,), we plug those in Now all we need is So we substitute (,) = (,). So becomes or in functional notation. To draw the graph, plot the given vertex and the given point, and find some more points, say: (-7,-5), (-4,1), (5,-5) Now draw in the graph of the function: Edwin```