Final answer:
To create an increasing interval for the function f(x)=-(x+3)²+7, we need to find the values of x where the function is increasing. The increasing interval for the function is x > -3.
Step-by-step explanation:
To create an increasing interval for the function f(x)=-(x+3)²+7, we need to find the values of x where the function is increasing. Since the coefficient of x is negative, the parabola opens downwards. The maximum point of the parabola is at x = -3 and y = 7. To the left of x = -3, the function is decreasing. To the right of x = -3, the function is increasing. Therefore, the increasing interval for the function is x > -3.