Answer:
Explanation:
The general form of a quadratic function is given by:f(x) = ax^2 + bx + cwhere a, b, and c are constants.To find the specific equation of a quadratic function with a given vertex and a point on the graph, we can use the vertex form of the quadratic function:f(x) = a(x - h)^2 + kwhere (h, k) is the vertex.Using the given vertex (0, 3), we have:f(x) = a(x - 0)^2 + 3Simplifying, we get:f(x) = ax^2 + 3Now we can use the given point (2, 7) to find the value of a.Substituting x = 2 and y = 7 into the equation above, we get:7 = a(2)^2 + 3Simplifying, we get:7 = 4a + 34a = 4a = 1Therefore, the general form of the quadratic function is:f(x) = x^2 + 3