1. Which quadratic function in vertex form can be represented by the graph that has a vertex at (3,-7) and passes through the point (1,-10) y=(3)/(4)(x+3)^2+7 y=-(3)/(4)(x+3)^2-7 y=(3)/(4)(x-3)^2+7 y=-(3)/(4)(x-3)^2-7

To determine the quadratic function in vertex form that can be represented by the given graph, we need to use the information provided about the vertex and the point it passes through.Given:- Vertex: (3, -7)- Point: (1, -10)The vertex form of a quadratic function is: where (h, k) is the vertex.Substituting the vertex (3, -7) into the equation, we get: Now, we need to find the value of 'a' using the point (1, -10). Substitute x = 1 and y = -10 into the equation: So, the quadratic function in vertex form is: Therefore, the correct answer is: