Which function has a range of {y|y ≤ 5}?
f(x) = (x – 4)^2 + 5
f(x) = –(x – 4)^2 + 5
f(x) = (x – 5)^2 + 4
f(x) = –(x – 5)^2 + 4

Range is ouput
testing limints
basically see the vertices
y=a(x-h)^2+k
(h,k) is vertex

also, when a is negative, graph opens down
when a is positive, graph opens up

y<5
k musbe 5

eliminate last 2

since less than, must open down
negative a
second one

f(x)=-(x-4)^2+5 is ansre