Final answer:
To find the equation of a quadratic function with a given vertex and point, we can use the vertex form. In this case, the equation is y = 22.
Step-by-step explanation:
To find the equation of a quadratic function, we can use the vertex form, which is given by y = a(x - h)² + k. The vertex form represents a parabola with the vertex at (h, k). In this case, the vertex is (5, 22). We also know that the function contains the point (3, 10).
Substituting the vertex coordinates into the vertex form, we get 22 = a(5 - 5)² + 22 which simplifies to 22 = a(0) + 22. This tells us that a = 0.
Therefore, the equation of the quadratic function is y = 0(x - 5)² + 22 which simplifies to y = 22.