1. If and , what is the vertex of the graph of ?
   
   
   

The function has its vertex at the point . When we modify this function to , we are effectively shifting the graph of horizontally to the right by 3.4 units. This means the vertex of is now at . So, the answer is .

To reinforce this concept, you can think of the vertex as the turning point of a parabola. When you adjust the input value like in this case (with ), it shifts the entire graph without changing the shape. Visualizing this can be useful for understanding how transformations work with functions!