Question

What is the equation of the graph below?

y = –2(x – 3)^2 + 1

y = –2(x + 3)^2 + 1

y = 2(x – 3)^2 + 1

y = 2(x + 3)^2 + 1

Answer 1

alright, well if you look at the equations, it's written in vertex form, which is y = a(x-h)^2+k
where your vertex is (h,k)
your vertex on the graphs is (3,1) so plug that in and you have
y=a(x-3)^2+1
then, the graph is facing downwards, so you know that a must be negative
so you get the first choice is the right answer