y=-x^2+1

Question

y=-x^2+1

alones · Answer

What is the range of the function y = -x2 + 1?

xguardians · Answer

Options?

alones · Answer

y ≤ -1
y ≥ -1
y ≤ 1
y ≥ 1

xguardians · Answer

For these problems, you want to test 3 different points.
One that's really negative (say -10)
One that's really positive (+10)
One that's balanced (0)
Tell me the answer to each of these.

xguardians · Answer

Remember y = -(x^2) + 1

alones · Answer

Uhh each O_O

xguardians · Answer

Yep, gotta have you learn it the hard way.

alones · Answer

uhh i got this one y ≤ 1

xguardians · Answer

@AloneS, that's correct :).
You can double check your work by graphing the function and seeing where the y-values go.

anthonyym · Answer

You could have solved this faster by knowing how to graph the parent function of a parabola y=x^2 and what a negative in front of it or adding something to the end of it does. Or how to find the vertex of a parabola.