Question

What is the range of the graph of
y = –3(x – 2)2 + 3?

y < 3

y > 3

y > 2

y < 2

Answer 1

can you find the vertex of the parabola?

Answer 2

no can you please help me ive been stuck on this problem for some time

Answer 3

ok...
the equation \(\large y=a(x-h)^2+k \) is a parabola whose vertex is (h, k).

what is the value of h and k for your graph?

Answer 4

h is 2 and k is 3...

Answer 5

ok.. so your vertex is (2, 3)....
now does the parabola open up or down?

Answer 6

opens up if a > 0
opens down if a < 0

Answer 7

\(\large y=a(x-h)^2+k \) what is a in your equation?

Answer 8

it opens down therefore, y < 3?

Answer 9

yes...:)

Answer 10

yay, thank you :D

Answer 11

yw...:)