What is the range of the function y = - x 2 + 1?

y ≤ - 1

y ≥ - 1

y ≤ 1

y ≥ 1

y ≤ 1

Step-by-step explanation:

I don't have a step-by-step explanation I'm sorry. But this is the correct answer for sure.

The answer would be y ≤ 1

Step-by-step explanation:

To find this, use the formula for the x value of the vertex (-b/2a), in which the coefficient of x^2 is a and the coefficent of x is b.

-b/2a = - 0/2 (1) = 0/2 = 0

Now that we know the value of x is 0, we look for the value of y.

y = - x^2 + 1

y = - 0^2 + 1

y = 0 + 1

y = 1

So the vertex is at 1. Since we see it is a negative value, we know that is a maximum.