Question

Which function has a range of 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

Answer 1

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

Explanation:

Desmos graphing calculator is a very good help for these type of graphing calculations.

Answer 2

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