Algebra-1

To determine if the relation described by the equation y = (x - 3)² -7 is a function, we need to check if each x-value corresponds to a unique y-value.

Let's analyze the equation:

y = (x - 3)² -7

This equation represents a quadratic function in the form y = (x−h)² + k, where h=3 and k=−7. The graph of such a function is a parabola that opens upwards (since the coefficient of (x−h)² is positive).